# What numbers multiply to 400 but add up to 40?

# What 2 numbers add up to -45 and multiply to -196?

1) x + y = -45 2) xy = -196 solve for x in equation 2 by dividing both sides by y x= -196/y plug this value for x into the first equation -196/y + y = -45 subtract y from both sides -196/y = -45-y multiply both sides by -y 196 =45y + y 2 subtract 196 from both sides 0 = y 2 +… 45y - 196 factor 0 = (y + 49)(y - 4) set each factor equal to 0 y + 49 = 0, y = -49 y - 4 = 0, y = 4 y = -49 or 4 plug these values back into equation 1 x + 4 = -45, x = -49 x + -49 = -45, x = 4 so the two numbers are 4 and -49 .
As two numbers are required that sum to -45 and multiply to -196, start off by working out the prime factorization of 196: 196 = 2 x 2 x 7 x 7. .
Using this, pairs of factors of 196 can be calculated: 1 x 196 2 x 98 4 x 49 7 x 28 14 x 14 .
As -196 is required, one factor must be positive and the other negative which means when they are summed, really their difference is calculated: 1 x 196 - difference = 195 2 x 98 - difference = 96 4 x 49 - difference = 45 7 x 28 - difference = 21 14 x 14 - difference = 0 .
A difference of 45 means the factors are 4 and 49, but as -45 is required, the larger factor must be negative, meaning the required numbers are 4 and -49 .
If you are in fact trying to factor a quadratic equation x 2 - 45x - 196 = 0, you could also use the quadratic formula [-b + or - the square root of (b 2 -4ac)] / 2a so [-(-45) + or - the square root of ((-45) 2 - 4(1)(-196)] / 2(1) [45 + or - square root of (2809)] / 2 [45 + or - 53] / 2 45 + 53 = 98, divide by 2 = 49 45 - 53 = -8, divide by 2 = -4 so the roots are (x - 49)(x + 4) so x = {49, -4} ( Full Answer )

# What two numbers multiply to -100 but add up to -48?

The numbers -50 and 2. -50 x 2 = -100 and -50 + 2 = -48

# What two numbers multiply to -1004 and add up to 60?

If we call these two numbers y and x then: y*x=-1004 y+x=60 We can then solve this system of equations to get the correct answer.

# What two numbers multiply to 60 and add up to -23?

-3 and -20 In order to multiple to a positive number and add to a negative one, both the numbers in question must be negative. The factors of 60 are: .
1, 60 .
2, 30 .
3, 20 .
4, 15 .
5, 12 .
6, 10 The third pair listed, 3 and 20, will add up to a positive 23. So all tha…t remains is to make them both negative. (-20) + (-3) = -23 (-20) * (-3) = 60 ( Full Answer )

# What two numbers multiply to -14 and add up to -3?

x*y=-14 x+y=-3 x =-3-y so (-3-y)*y=-14 and solve for y, substitute back for x. .

# What two numbers add up to six but multiply to 1?

a+b=6, or a=6-b a*b=1 substitute for a in the 2nd equation, using the first equation: (6-b)*b=1 -b 2 +6b-1=0 b 2 -6b+1=0 Using the quadratic equation, b = (6 +- (36-4) .5 )/2 = 3 +- 2(2) .5 a = 6 - (3 +- 2(2) .5 ) = 3 +- 2(2) .5 (a,b) = (3+2(2) .5 ,3-2(2) .5 ) or (3-2(2) .5 ,3+2…(2) .5 ) ( Full Answer )

# What numbers add up to -25 and multiply to 300?

The complex conjugate pair, -12.5 Ã‚Â± 11.9896 i where i is the imaginary square root of -1.

# What two numbers add up to 19 and multiply to -150?

-6 and 25. To find that answers I found multiples of 150. 1 x 150 = 150 2 x 75 = 150 3 x 50 = 150 5 x 30 = 150 6 x 25 = 150 I immediately noticed that 25 - 6 = 19, so you know that the 6 is negative because if it was -25 and a positive 6 the answer would be -19.

# What numbers multiplys to -288 and adds up to 12?

the number are 24 and -12 24 plus -12 = 12 24 times -12 = -288

# What two numbers can you multiply to 30 and add up to -17?

If you multiply two negative numbers together the result is always positive. So, -15 and -2 if multiplied together will give +30, and if added together will give -17

# What 2 number multiply to -120 and add up to -14?

This is algebra. Let's take 2 numbers, x and y. What we want is xy = -120 and x+y = -14. So we have two equations. Let's solve for one of the numbers and move that over to the other equation. x+y=-14 x=-14-y Let us now plug that x into the other equation. (-14-y)y=-120 We n…ow distribute the y to both -14 and -y. -14y-y^2=-120 moving everything to one side we get 0=y^2+14y-120 now it's just a matter of solving for y, which can be found using the quadratic equation (-b+-(b^2-4ac)^(1/2))/(2a), where a=1, b=14, and c=-120. Let's try plus first (-14+(14^2-(4)(-120))^(1/2))/2 (-14+(196+480)^(1/2))/2 (-14+26)/2 6 so y=6. Let's plug that into one of the equations we had, x+y=-14. x+6=-14 x=-20 To see if this works, let's try y=6 and x=-20 on both equations -20(6)=-120 -20+6=-14 They work! By the way, if we had tried minus in the quadratic equation, we would've gotten -20 for y and x as 6. ( Full Answer )

# What two numbers add up to -4 and multiply to -140?

The two numbers which add to give -4 and multiply to give -140 are -14 and 10.

# Which two number add up to -10 multiply to 10?

None. The only numbers that multiply to 10 are +5 and +2, or -5 and -2. Neither of these pairs add to -10.

# What two numbers add up to 50 and multiply out to 14?

x+y=50 xy=14 25- sqrt(611), 25+sqrt(611) 0.28158581 49.718414 Are you sure these are the right values? this is the only answer that works.

# What number multiplies to 48 and adds up to 19?

Assuming the question is about a PAIR of numbers, the answer is 3 and 16.

# What two numbers multiply and add up to 9?

a+b = ab = 9 so a(9-a) = 9 = -(a-9/2)^2 +81/4 so a-9/2 = sqrt(45/4) = +- 3/2 sqrt(5) Therefore the two numbers are (9 + 3 sqrt(5))/2 and (9 - 3 sqrt(5))/2

# What two number multiply to 25 and add up to 9?

The only factors of 25 are: 1, 5, and 25. None of those factors add up to 9, let alone add up to 9 and multiply to 25. If you were trying to solve for x in a quadratic equation, you may need to use the quadratic formula. Assuming a = 1, b = 9, and c = 25 (x^2 + 9x + 25): x = (-b +- sqrt(b^2 - 4a…c)) / 2a x = (-9 +- sqrt(9^2 - 4(1)(25)) / 2(1) x = (-9 +- sqrt(81 - 100)) / 2 x = (-9 +- sqrt(-19)) / 2 Final Answer: x = (-9 +- i*sqrt(19)) / 2 ( Full Answer )

# What two numbers add up to be 20 but multiply to be 204?

Let's list out the numbers that multiply to 204 first. 1 and 204 2 and 102 3 and 68 4 and 51 6 and 34 12 and 17 Since none of these number pairs add up to 20, there is either a mistake in the question, or it is not able to be solved.

# What numbers multiply to -56 and adds up to 1?

8 & -7 (see below) 1. x * y = -56 2. x + y = 1 We can rewrite 2. as y = -x + 1 We can then substitute this into 1. to give: x (-x + 1) = -56 -x 2 + x = -56 -x 2 + x + 56 = 0 This factors to: (-x + 8) (x + 7) = 0 Therefore: -x + 8 = 0 x = 8 and x + 7 = 0 x = -7 T…herefore the two numbers are 8 & -7. ( Full Answer )

# What is a number that multiplies to -48 and adds up to 2?

Well, if you mean that you are trying to find a number that, multiplied by a different number is -48 then the number would be 1. 1x-48=-48, and 1+1=2.

# What two numbers multiplies out to -600 and adds up to ten?

In the case I would first write ALL factors of 600 and find the differences. 1x600 2x300 3x200 4x150 5x120 6x100 8x75 10x60 12x50 15x40 20x30 24x25 The one that subtracts to give the answer is -20 and 30

# What two numbers multiply to 140 and add up to 31?

If we call the two numbers a and b then ab = 140 and a + b = 31. Solving the second equation for b results in b = 31 - a. Then substituting this back into the first equation results in: a(31 - a) = 140 Distribute and subtract 31 from both sides: -a 2 + 31a - 140 = 0 Use the quadratic …formula to solve for a: a = about 5.488 or 25.516 Then plug this numbers back into an original equation (such as a + b = 31) and solve for b. If a is 5.488 then b ends up being 25.516. If a is 25.516 then b ends up being 5.488. So the two numbers are about 5.488 and 25.516. (The exact forms are ( 1 / 2 )(31 - sqr(401)) and ( 1 / 2 )(31 + sqr(401)) The plus or minus in the quadratic formula takes care of what both numbers will be, so you don't have to substitute back if you find both possible values for a.) ( Full Answer )

# What two numbers add up to 6 but multiply to 10?

There are no integer solutions, but there are complex (imaginary number) solutions, where y 2 - 6y +10 = 0 for y and x = 6-y --- You have two equations: x + y = 6 x * y = 10 x= 6-y and sub in y*(6-y) = 10 y^2 - 6y + 10 = 0 (quadratic equation) y = -b +/- sqrt(b^2-4ac)/2a = 6/2 +…/- sqrt(36-4*1*10) / 2 = 6/2 +/- imag * sqrt(4)/2 = 3 +/- imag * 1 number 1= 3 + i number 2 = 3 - i ( Full Answer )

# What numbers multiple to 400 and add up to -50?

-10 and -40 multiply to 400 (because the negative signs cancel each other) and add to -50. Please note that WikiAnswers is not here to do your homework for you. If this question is from work you have been assigned by a teacher or professor, I suggest you do the work yourself instead, which will hel…p to increase your understanding of the subject matter and help you to become more familiar with it. ( Full Answer )

# What two number multiply to get 16 and when add it up to 4?

The complex conjugate pair, 2 - 3.4641i and 2 + 3.4641i where i is the imaginary square root of -1.

# What two numbers multiplies to 48 and adds up to 8?

The factor pairs of 48 are (48,1)(24,2)(16,3)(12,4)(8,6) None of them add up to 8. If that was -48, you could use 12 and -4

# What two numbers add up to -15 and multiply to 2?

This one's backwards. 5 and -3 multiply to -15 and add up to 2. As written, there is no solution.

# What two numbers multiply to -7 and add up to 10?

I think that's the other way around. -2 and -5 multiply to 10 and add up to -7.

# Is there 2 numbers that multiply to -84 and add up to 25?

-3 and 28 x*y=-84 || x+y=25 (What's known) x=-84/y || x=25-y (Solve for x) -84/y=25-y (Set them equal using the solved x's) -84=25y-y^2 (Simplify) y^2-25y-84=0 (Solve for 0) (y-28)(y+3)=0 (Factor) y=28|y=-3 (Solve for solutions) Factors of 84: 1|84 2|42 3|28 4|21 6|14

# What 2 numbers multiply to 120 and add up to -14?

None of the factor pairs of 120 add up to -14. If that was -120, you could use -20 and 6.

# What numbers multiply to 252 but also add up to 29?

The factor pairs of 252 are (252,1)(126,2)(84,3)(63,4)(42,6)(36,7)(28,9)(21,12)(18,14) None of them add up to 29. If that was -252, you could use 36 and -7.

# What are the numbers when you add you get -3 when multiplied you get 40?

There are no two real numbers that do. Using complex numbers, these two do: (- 3 / 2 + i Ã¢ÂˆÂš151 / 2 ) & (- 3 / 2 - i Ã¢ÂˆÂš151 / 2 ) .
Two numbers that add to -3 and multiply to -40 are -8 & 5 Two numbers that add to 3 and multiply to -40 are 8 & -5 Two complex numbers that add to …3 and multiply to 40 are ( 3 / 2 + i Ã¢ÂˆÂš151 / 2 ) & ( 3 / 2 - i Ã¢ÂˆÂš151 / 2 ) ( Full Answer )

# What 2 numbers add to 400 and multiply to 960000?

-1200 and -800, I thought at first, but I cannot think of 2 numbers possible. if 1200 is positive, 960000 has to be negative

# What two numbers add up to 4 but multiply to -12?

-2+6=4 and if you multiply -2Ã¢Â€Â¢6 it equals -12 If you didnt know that is called quadratic factoring I think but I remember doing this school year just passed so that's how I know it so well but anyways... Your Welcome :-)

# What two numbers multiply to get 80 and add up to get -2?

There aren't two whole numbers that satisfy those conditions. If that was -80, you could use 8 and -10.

# What two numbers add up to get a -3 and is multiplied to get a 10?

I dont think there are 2 numbers. If you meant -10, there's asolution. -5 and 2

# What are two numbers that add to 40 and multiply to 4?

The factor pairs of 4 are (4,1) and (2,2) Neither of them add up to 40.

# What two numbers multiply to 294 and add up to 7?

The complex conjugate pair, 3.5 - 16.8 i and 3.5 + 16.8 i where i is the imaginary square root of -1.

# What 2 number add up to -19 and multiply by 24?

Let x and y be the unknowns. Based on the given problem, we have: x + y = -19 [The sum of two numbers is -19] xy = 24 [The product of two numbers is 24] Solve for these numbers either by elimination or substitution method. The recommended choice is substitution method. Solve for y for the second …equation: y = 24/x Substitute that expression for the first equation: x + (24/x) = -19 Solve for x by rearranging the terms: xÃ‚Â² + 24 = -19x [Multiply both sides by x] xÃ‚Â² + 19x + 24 = 0 Since the expression can't be factored, you don't get integers for x and y. Let's complete the square, and see what we have: xÃ‚Â² + 19x + (19/2)Ã‚Â² = -24 + (19/2)Ã‚Â² (x + (19/2))Ã‚Â² = 66.25 x + (19/2) = Ã‚Â±Ã¢ÂˆÂš(66.25) or Ã‚Â±Ã¢ÂˆÂš(265/4) x + (19/2) = Ã‚Â±Ã¢ÂˆÂš(265)/2 x = (-19 Ã‚Â± Ã¢ÂˆÂš(265))/2 Finally, substitute that value back for either of the equation and solve for y. You should get: y = Ã‚Â±24/((-19 Ã‚Â± Ã¢ÂˆÂš(265))/2) = Ã‚Â½(-19 Ã¢ÂˆÂ“ Ã¢ÂˆÂš265) So the numbers are: x = Ã‚Â½ * (-19 - Ã¢ÂˆÂš265) and y = Ã‚Â½ * (Ã¢ÂˆÂš265 - 19) y = Ã‚Â½ * (Ã¢ÂˆÂš(265) - 19) and y = Ã‚Â½ * (-19 - Ã¢ÂˆÂš265) ( Full Answer )

# What two numbers add up to 4 and multiply to -236?

The numbers are: 2 +4 times sq rt of 15 and 2 -4 times sq rt of 15

# What two numbers multiply to 864 and add up to 48?

As Ironnica knows, I love questions like this! So, I would set up two equations: xy=864 x+y=48 By using subtraction on the second equation, y=48-x Substituting this in the first equation, x(48-x)=864 Simplifying that gives -x 2 +48x=864 I'm going to subtract 864 from both sides to get-x 2 +48x-864… You might notice that there is now a quadratic, meaning we can usethe quadratic formula! (Look it up if you don't know, it is veryhelpful in solving these kinds of problems) The answer is x = 24Ã‚Â±12iÃ¢ÂˆÂš2 If x = 24-12iÃ¢ÂˆÂš2, then y would equal 24+12iÃ¢ÂˆÂš2 ( Full Answer )

# What two numbers multiply to 3969 and add up to 36?

There are no numbers that multiply to form 3969 and add to form36. .
At the far minimum end, you have: (34 + 2) = 72. At the maximum (middle), you have: (18 * 18) = 324. So, there are no numbers.

# What multiplies to get 400 but adds to get 120?

116.5685 and 3.4315 (accurate to 4 decimal places) 1. x * y = 400 2. x + y = 120 Rearranging 2 gives 3. y = -x + 120 Substituting this value for y into 1. gives x * (-x + 120) = 400 -x 2 + 120x = 400 -x 2 + 120x - 400 = 0 This is now a quadratic equation and can be solved using thequadratic… formula. x = (-120 +/- (120 2 - 4*-1*-400) 1/2 ) / (2 *-1) x = 116.5685 and 3.4315 (to 4 decimal places) ( Full Answer )

# What is a number that multiplies to get 32 and adds up to 9?

There are many possible answers. One pair, involving complex numbers, is 4.5 - 3.4278* i and 4.5 + 3.4278* i where i is the imaginary square root of -1.

# What two numbers multiply to be 300 and add to be -40?

The two numbers -10 and -30 multiply to -10 ÃƒÂ— -30 = 300 and sum to-10 + -30 = -40.

# What two numbers multiply into -20 and adds up to 8?

Because the 20 is negative then one of the numbers has to be negative. Therfore, the difference of the numbers' values must be 8. Product Difference 1x20 19 2x10 8 4x5 1 Obviously, -2x10 are the numbers.

# What two numbers add up to -20 and multiply to 24?

The factor pairs of 24 are (24,1)(12,2)(8,3)(6,4) Even considering their negative counterparts, none of them add up to -20 Another Answer:- The numbers are: (-10+square root of 76) and (-10-square root of 76)

# Which two numbers add up to 13 and multiply to 6?

The factor pairs of 6 are (6,1) and (3,2) Neither of them add up to 13.

# What two numbers add up to 72 but multiply to 192?

The factor pairs of 192 are (192, 1) (96, 2) (64, 3) (48, 4) (32,6) (24, 8) (16, 12) None of them add up to 72.

# What prime numbers add up to 40?

2 3 5 7 11 13 17 19 23 29 31 and 37 are the prime numbers you canuse. Possible options are: 3 + 37 = 40 11 + 29 = 40 2 + 7 + 31 = 40 3 + 7 + 13 + 17 = 40 17 + 23 = 40 3 + 7 + 13 + 17 = 40