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

# 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 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: 28…0 - 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

# What is the square root of 882?

Just under 30...

# Square root 40 equals k square root 10 What does k equal and why?

â(40)=kâ(10) Isolate k by dividing both sides by â(10) â(40)/â(10)=k â(40/10)=k â(4)=k k=2

# What should be the value of K if 9x square - 24x plus K is equal to a perfect square?

K = -x 9x 2 -24x-x = 9x 2 -25x = (3x-5)(3x+5) when factored

# 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.

# 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 p…rime factors is "k".

# 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 c…ube that is a multiple of 756 is 2^3 Ã3^3 Ã 7^3; to obtain this need to multiply 756 by 2^1 Ã 3^0 Ã 7^2 =98 Thus the smallest k to make 756k a perfect prime is k = 98.

# 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 te…rms: 40k +80 = 0 => 40k = -80 => k = -80/40 .
Therefore the value of k = -2

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# 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

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# What are the possible values of k when the equation x squared plus 2kx plus 81 equals 0 has equal roots?

Using the discriminant the possible values of k are -9 or 9

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# 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 1/10…5 or 1/420, thevalue would also be a perfect square.

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# 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

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# What are the values of x and k when equation of 2x squared plus 5x equals k has equal roots?

If: 2^x2 +5x = k .
Then: 2x^2 +5x -k = 0 .
Using and solving the discriminant: k = -3.125 .
Using and solving the quadratic equation: x = -1.25 .
Check: 2(-1.25)^2 +5(-1.2…5) = -3.125