# What is the value of k when 280 k is a perfect square and 882 k is a cube root?

# What is the minimum value of the sum of their squares if the sum of two numbers is K?

So to start off, set each number equal to a variable. (In this case, I will use x= 1st number and y= 2nd number) Since the sum of the two numbers is K... x+y=K Therefore y=K-x And the sum of their squares is a minimum... x^2+y^2=MINIMUM Therefore = x^2+(K-x)^2 So to simplify... … =2x^2+2Kx+K^2 Factor out the coefficient of 2 from the first two terms and complete the square =2(x^2+Kx+(Kx/2)^2-(Kx/2)^2)+K^2 =2(x+(Kx/2)^2)^2-Kx^2+K^2 So the minimum value = -Kx^2+K^2 and x = -(Kx/2)^2 Hopefully that helps, but it is much easier to follow using real numbers (instead of generalizing >>>) ( Full Answer )

# How do you get the square root of a perfect square?

you find what same 2 numbers equal that number EXAMPLE: what is the square root of 49? ANSWER:7 because 7x7=49 Edit: Nearly there. 7 is the PRINCIPAL square root but there is another, which is -7. (-7)*(-7) is also 49.

# How do you get the square root of not perfect square?

One way is to solve the equation x^2 - number = 0 with Newton's method. Start with a guess for the answer (say your number is 20, guess 5 or something - it hardly matters how bad your guess is). Say your guess is G. Then compute : 0.5 * (G + 20/G) This will give you a new guess. Rinse and repe…at. The number 20 needs to be replaced with whatever number you're trying to find the square root of. Example with Ã¢ÂˆÂš30 : Take a guess : 6. Compute 0.5 * (6 + 30/6) = 5.5. Compute 0.5 * (5.5 + 30/5.5) = 5.47727272728. Compute 0.5 * (5.47727272728 + 30/5.47727272728) = 5.47722557525. The true answer is 5.47722557505. You already had four correct decimals after the second step. The third step yields nine correct decimals. It keeps growing like this really fast. This is way better than the longhand method your grandparents learned in school. ^_^ * * * * * Excellent answer except for one minor (pedantic) point. The true answer is NOT 5.47722557505. The square root of 20 is an irrational and therefore has an infinitely long, non-recurring decimal representation. 5.47722557505 is a rational - tediously long, but even so. ( Full Answer )

# What is the square root of a perfect square?

There are two square roots of a perfect square: a positive number and the same number as a negative number. The square root of a perfect square will always be an integer.

# What is a K value?

k vALUE IS A CEREAL/BAR that supposovly have less calories and it is supposevly makes you loose wait

# What is the square root of 280?

It has no pure square root. 16 x 16 =256 but this leaves a remainder of 24.

# What is cube root and square root?

A square root of a number is a number that, multiplied by itself once, will equal the first number. Meanwhile a cube root of a number is a number that, multiplied by itself twice, will equal the first number..
For example: the square root of 4 is 2. [ 2 X 2 = 4 ] [ 2 times itself equals 4 ].
the c…ube root of 8 is 2. [ 2 X 2 X 2 = 8 ] [ 2 times itself, and then times itself again, equals 4 ] . ( Full Answer )

# If x squared equals k where x and k are integers What is the value of k?

All we can deduce from that information is that k is a positive perfect square. Is that really the whole question? What?

# What is the root of a perfect square?

The root of a perfect square will be an integer, but will be both the positive and negative values. For instance, the square root of 4 is plus or minus 2 (Ã‚Â±2), as both integral answers are valid..
The positive real root is the answer that many books give. It is sometimes called the primary roo…t. But the key point is both roots are valid. ( Full Answer )

# What is perfect square root?

A perfect square root is where the square root of a number equals another whole number. For example, the square root of 144 is 12. 12 is a whole number thus 144 is a perfect square root.

# What is perfect square and perfect cube?

The square root of a perfect square and the cube root of a perfect cube is always an integer. A perfect square is a number multiplied by itself. A perfect cube is a number multiplied by itself twice. Example: 3 x 3 is 9, the square of 3 3 x 3 x 3 is 27, the cube of 3

# What whole number is between 40000 and 50000 and has a perfect square and cube root?

46656 is the square of 216 and the cube of 36 2^6 x 3^6 is the square of a cube and the cube of a square.

# What is 280 K in Fahrenheit?

To convert from degrees Kelvin to degrees Fahrenheit, firstly subtract 273.15, to turn into degrees Celsius, then multiply by 9, divide by 5, and add 32. In this instance: 280 - 273.15 = 6.85 x 9 = 61.65 / 5 = 12.33 + 32 = 44.33 Therefore, 280 degrees Kelvin is equal to 44.33 degrees Fahrenheit.

# What is the smallest value of k when 882k is a cube?

Factor the number 882, until you get prime factors. See what prime factors are missing to complete a cube (each prime number has to be to the power 3, 6, etc.). Multiply those missing factors, to get "k".\n

# When y equals x squared plus k and both x and k are integer how to quickly converge y to be a perfect integer square by varying x where eg 225 is solution for y when k equals 161 and x equals 8?

This is a hyperbola. It is best approached using Fermat's factorisation method. See http://www.answers.com/topic/fermat-s-factorization-method or google wikepedia

# What is the value of k when the straight y equals 3x-1 is a tangent to the curve x squared plus y squared equals k?

k = 1/10 Learn how to use the discriminant of a quadratic equation when solving these types of questions.

# How do you find the value of k when the line y equals x - 3 touches the curve x squared - 3y squared equals k?

Equation 1: y = x-3 => y 2 = 3y 2 -18x+27 when both sides are squared and multiplied by 3 Equation 2: x 2 -3y 2 = k => x 2 -k = 3y 2 => 3y 2 = x 2 -k By definition: 3x 2 -18x+27 = x 2 -k => 2x 2 -18x+27+k = 0 Use the discriminant b 2 -4ac = 0 to find the value of k: b 2 -4ac = 0 => 18 2 -4…*2*(27+k) = 0 108-8k = 0 -8k = -108 k = 13.5 Check: 18 2 -4*2*(27+13.5) = 0 ( Full Answer )

# What are the range of values of k when y equals 2x plus k and x squared plus y squared equals 4 but do not intersect?

Equation 1: y = 2x+k => y 2 = 4x 2 +4kx+k 2 when both sides are squared Equation 2: x 2 +y 2 = 4 => y 2 = 4-x 2 when rearranged So by definition: 4x 2 +4kx+k 2 = 4-x 2 => 5x 2 +4kx+k 2 -4 = 0 If the values are tangent to the curve then the discriminant b 2 -4ac = 0 b 2 -4ac = 0 => 16k 2 …-4*5*(k 2 -4) = 0 16k 2 -20k 2 +80 = 0 => 4k 2 -5k 2 +20 = 0 -k 2 +20 = 0 => -k 2 = -20 Therefore the values of k are: plus or minus the square root of 20 Check: (4*k 2 )-(5*k 2 )+20 = 0 ( Full Answer )

# Is 0.01 a perfect cube or square?

putang ina mo pala eh... ako nagtatanong..... ako sasagot... please you shot up...... . . . . . . . . . that all I THANK YOU...

# What is a cube root and a square root?

Cube Root - The number that produces a given number when cubed Square Root - A number that produces a specified quantity when multiplied by itself: "7 is a square root of 49".

# How can you get the nth root of not perfect square?

The best way to do this is using a scientific calculator. The calculation is too involved to do with pencil and paper. Note that, for example, the 5th. root of 2 is the same as 2 to the power (1/5). As to the actual method, a very simple method - albeit somewhat slow - consists of taking the power…s of different numbers, until you find one that is close enough. For example, to get the 5th. root of 2 means to find a number that, raised to the 5th. power, is equal to 2. Since 1.1 5 = 1.61 (less than two) and 1.2 5 = 2.49 (more than two), the 5th. root of 2 must be between 1.1 and 1.2. Calculators and computer programs use other methods, that are faster. These methods are based on evaluation of the exponential function (e to the power x) and logarithmic functions (base-e logarithm). ( Full Answer )

# What numbers have a perfect square and perfect cube?

All integers have a perfect square and a perfect cube. For example: -2 2 = 4, -2 3 = -8, -1 2 = 1, -1 3 = -1, 0 2 = 0, 0 3 = 0, 1 2 = 1, 1 3 = 1, 2 2 = 4, 2 3 = 8, 3 2 = 9, 3 3 = 27, etc.

# Is 196 perfect square or perfect cube?

196's prime numbers are (2) (2) (7) (7). For example, if you square those prime numbers you would get 14. Why? Because u need equal integers within a square root, so that you can take that integer outside the square root. With the same knowledge, we can apply ask the question whether 196 is a cub…e root. If it's a cube root, then it needs to have 3 same integer (ex: 3x3x3x4x4x4x; 2x2x2x7x7x7). As you can see we don't have third same integer. Also, even if it is 2x2x2x7x7, it cannot be a cube root because it is missing the third 7. So the answer is that 196 is a perfect square and not a perfect cube. Note: you cannot have a square root of a negative integer, if the question is "is -196 a perfect square or a perfect cube", then the answer is neither. Of course you can SQUARE the negative number (ex: (-2)^2=+/- 4), but you cannot mathematically square root a negative number unless your using the imaginary integer "i". I hope it answers your question and just a bit more. ( Full Answer )

# Is 300 perfect square root?

Any integer is a perfect square oot (of its square). So 300 is a perfect square root of 90000.

# What is a perfect square and perfect cubed number?

To find a number that is both a perfect square and a perfect cube, we must solve x 2 = x 3 over x Ã¢ÂˆÂˆZ + . The only two solutions to this equation are 0 and 1, or x = {0,1}. Therefore, zero and one are the only two numbers that are both perfect squares and perfect cubes. --In easier terms: a …perfect square is a number that can be "square rooted" and have no remainder. Like, 144. The square root is 12 therefore 144 is a perfect square. A perfect Cube is the same except that it must be "cubed rooted". Like 27. The cube root of this number is 3 therefore 27 is a perfect cube. ( Full Answer )

# What is a Perfect Cube Root?

A perfect cube is a number which is the cube of an integer. Some examples include: 0, 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744, 3375, 4096, 4913, 5832, 6859, 8000, 9261, 10648, 12167, 13824, 15625, 17576, 19683, 21952, 24389, 27000, 29791, 32768, 35937, 39304, 42875, 4…6656, 50653, 54872, 59319, 64000, 68921, 74088, 79507, 85184, 91125, 97336, 103823, 110592, 117649, 125000, 132651, 140608, 148877, 157464, 166375, 175616, 185193, 195112, 205379, 216000, 226981, 238328... ( Full Answer )

# What does perfect square root mean?

A perfect square number is a number, whose square root is an integer. Examples are 1, 4, 9, 16, 25, .... The square roots of these numbers are {1,2,3,4,5,...} and {-1,-2,-3,-4,-5,...}

# What are examples of perfect square roots?

Perfect square roots are the counting numbers {1, 2, 3, ...} The squares of the perfect square roots are the perfect squares,namely 1Ã‚Â² = 1, 2Ã‚Â² = 4, 3Ã‚Â² = 9, etc.

# What is a perfect square and a perfect cube?

A perfect Square means a shape having 4 equal sides and the angle between two adjecent lines should be 90, But a perfect Cube means its an OBJECT with its four sides are equal dimentions. Any square has 4 equal sides and 90 degree corner angles. This is a question about number theory. A perfect squ…are is a number whose square root is an integer (eg 9, 49 etc). Similarly a perfect cube is a number whose cube root is an integer (eg 8, 27 etc) ( Full Answer )

# What is the value of K in kx2-x-40 has two distinct real roots?

Using the formula to slove the given quadratic to find the roots there is a term involving the square-root of (-1) 2 - 4(-40)(k). This expression has to be positive or zero if the roots are real. So 1+160k has to be positive or zero (ie >=0). So k>=-1/160

# Is there a perfect square root?

Many numbers (4, 81, 144, 7.360369 etc.) have perfect (rational, terminating) square roots. The rest (2, 3, 5, 6, 7, 8, 10, 99, 101 etc.) don't.

# What is the perfect square root of 176?

i think the awser is 2square sign 11 i have troble wit this so if uget it wrong say it was me haha jk :P

# How is a perfect square and cubes root related?

They are not, other that the fact that any perfect square is anon-negative and so is also a cube root of some non-negativeinteger (usually much larger). But -2 is a cube root (of -8), while -8 is not a perfect square.

# Can a square root of a perfect square be another perfect square?

Sure. Take the fourth power of any natural number, for example 2 4 = 16. It square root is a perfect square, in this case 2 2 . As another example, the square root of 3 4 = 3 2 .

# Find the smallest integer k such that 756k is a perfect cube?

Factor 756 into prime factors. Then add additional prime factors, such that each prime factor occurs a number of times that is a multiple of 3. The product of the additional prime factors is "k".

# The square of r increased by a quantity that is fifty times the cube of k?

The square of r increased by a quantity that is fifty times the cube of k cannot be solved any further than it has been put in the question.

# The square of r increased by a quantity that is fifty times the cube of k-?

The square of r increased by a quantity that is fifty times the cube of k can be written as r squared + 50 (k cubed). It cannot be solved any further.

# What is the smallest integer k such that 756k is a perfect cube?

k = 98. In the prime factorization (in power format) of a perfect cube,every prime must be to the power of a multiple of 3. 756 = 2^2 x 3^3 x 7 Thus the smallest perfect cube that is a multiple of 756 is 2^3 ÃƒÂ—3^3 ÃƒÂ— 7^3; to obtain this need to multiply 756 by 2^1 ÃƒÂ— 3^0 ÃƒÂ— 7^2 =98 Thus… the smallest k to make 756k a perfect prime is k = 98. ( Full Answer )

# What are the possible values of k in the quadratic equation x squared plus 5kx plus 2k equals 0 which has equal real roots?

Using the discriminant formula for a quadratic equation k has a value of 8/25 or maybe 0.

# X2 -5kx plus 25 the square of binomial. what is a possible value of k?

k can be 2 or -2. A binomial squared is: (a + b)Ã‚Â² = aÃ‚Â² + 2ab + bÃ‚Â² Given xÃ‚Â² - 5kx + 25 = (a + b)Ã‚Â² = aÃ‚Â² + 2ab + bÃ‚Â² we find: aÃ‚Â² = xÃ‚Â² Ã¢Â†Â’ a = Ã‚Â±x 2ab = -5kx bÃ‚Â² = 25 Ã¢Â†Â’ b = Ã‚Â±5 If we let a = x, then: 2ab = 2xb = -5kx Ã¢Â†Â’ 2 ÃƒÂ— Ã‚Â±5 = -5k Ã¢Â†Â’ k = Ã‚Â±2 If …k = 2 then the binomial is (x - 5)Ã‚Â² If k = -2 then the binomial is (x + 5)Ã‚Â² To be complete if a = -x, then: If k = 2 then the binomial is (-x + 5)Ã‚Â² If k = -2 then the binomial is (-x - 5)Ã‚Â² which are the negatives of the binomials being squared. ( Full Answer )

# What is the value of k when the equation of 6x squared plus 2x plus k equals 0 has equal roots?

If: 6x^2 +2x +k = 0 has equal roots .
Then using the discriminant of b^2 -4ab=0: 4 -24k=0 => k=-4/-24 => k=1/6 .
Therefore the value of k = 1/6

# What s the value of k when the equation x squared plus 2kx plus 10x plus k squared plus 5 equals 0 has equal roots?

Equation: x^2 +2kx +10x +k^2 +5 = 0 .
Using the discriminant: (2k +10)^2 -4*1*(k^2 +5) = 0 .
Multiplying out the brackets: 4k^2 +40K +100 -4k^2 -20 = 0 .
Collecting like terms: 40k +80 = 0 => 40k = -80 => k = -80/40 .
Therefore the value of k = -2

# What is the value of k when the equation x squared plus 2kx plus 10x plus k squared plus 5 equals 0 has equal roots?

Using the discriminant of b^2 -4ac = 0 the value of k works out as -2

# What are the possible values of k when the curve of kx squared plus x squared plus kx plus k plus 1 equals 0 has equal roots?

If the equation has equal roots then the discriminant of b^2 -4ac = 0:- .
Equation: kx^2 +x^2 +kx +k +1 = 0 .
Discriminant: k^2 -4(k+1)(k+1) = 0 .
Multiplying out brackets: k^2 -4k^2 -8k -4 = 0 .
Collecting like terms: -3k^2 -8k -4 = 0 .
Divide all terms by -1: 3k^2 +8k +4 = 0 .
Factorizing: (…3k +2)(k +2) = 0 => k = -2/3 or k = -2 .
Therefore possible values of k are -2/3 or -2 ( Full Answer )

# What are the possible values of k when kx squared plus x squared plus kx plus k plus 1 equals 0 has equal roots?

Taking all terms and conditions into consideration a quadratic equation can be finally formed as such that 3k^2 +8k +4 = 0 whose solutions are k = -2/3 or k = -2 .
Check: 3(-2/3)^2 +8(-2/3) +4 = 0 .
Check: 3(-2)^2 +8(-2) +4 = 0

# What Is The Smallest Value Of k For 420k To Be A Perfect Square?

The prime factorization of 420 is 2 x 2 x 3 x 5 x 7. You needanother 3 x 5 x 7 (105) to make that a perfect square. The questionshould stipulate integral values. If k was 1/105 or 1/420, thevalue would also be a perfect square.

# What is the value of k when 4x squared plus kx plus 9 equals 0?

Using the discriminant for a quadratic equation the value of k works out as plus or minus 12.

# What are the possible values of k when 2kx2 -2x2 plus 2kx plus k -1 equals 0 has equal roots?

Equation: 2kx^2 -2x^2 +2kx +k -1 = 0 .
Using the discriminant: (2k)^2 -4*(2k -2)*(k -1) = 0 .
Solving for k in the discriminant: k = 2 + or - square root of 2

# What are the possible values of k when kx2 plus x2 plus kx plus k plus 1 equals 0 has repeated roots?

Equation: kx^2 +x^2 +kx +k +1 = 0 .
Using the discriminant: K^2 -4*(k +1)*(k +1) = 0 .
Expanding brackets: k^2 -4k^2 -8k -4 = 0 .
Collecting like terms: -3^2 -8k -4 = 0 .
Dividing all terms by -1: 3k^2 +8k +4 = 0 .
Factorizing the above: (3k +2)(k +2) = 0 meaning k = -2/3 or -2 .
Therefore pos…sible values of k are either: -2/3 or -2 ( Full Answer )

# What are the values of the variables when 6x squared plus 2x plus k equals 0 has repeated roots?

Equation: 6x^2 +2x +k = 0 .
Using the discriminant formula: k = 1/6 .
Using the quadratic equation formula: x = -1/6 .
Check: 6(-1/6)^2 +2(-1/6) +1/6 = 0