What 2 numbers have a product of 36 and a sum of -13?

Answer 1

-9 and -4

Answer 2

Solve for two variables first. Let those variables be x and y.

You know that xy = 36 and that x + y = -13. Solve for one variable. I suggest working with the sum first.

So, you know that x = -y - 13. You can plug that into the product to get:
(-y - 13)y = 36
-y^2 - 13y - 36 = 0 <== I suggest multiplying by -1 to get:
y^2 + 13y + 36 = 0
(y + 4)(y + 9) = 0

So, y = -4 or y = -9.

Plug each value into your original equations:
-4x = 36 --> x = -9
-9x = 36 --> x = -4

As you can see, you have x = -4 and y = -9. Those are your two numbers. You could also get x = -9 and y = -4. Either way, you get -4 and -9.

Answer 3

See in terms of x and y.
Assume the nos to be x and y.
Hence:

x + y = -13
x*y = 36

=> y = 36/x
Using this value of y in the first eqn.

x + 36/x = -13
x ^2 + 36 = -13x
=> x^2 + 13x +36 =0
Factor this:
=> (x + 9) (x+4) =0
Either x+9= 0
or x+4=0

This means x= -9 or x= -4
These are the 2 solutions.

Using this and the relation xy =36.
U have the 2 numbers as -9 and -4
or -4 and -9
{ofcourse both mean the same}

Answer 4

Answer: -9 and -4.
Reason: When you multiply 2 negative numbers, you get a positive number. So, if 9 x 4 = 36, then -9 x -4 = 36, too.

Good luck.

Answer 5

They are -4 and -9. When they are summed you get -13 and when multiplied they give 36.

Answer 6

-9 and -4

Answer 7

-4 and -9

Answer 8

-9 and- 4

Answer 9

-9 and -4

Answer 10

dude, do the same thing i told you before. you get -9 and -4.