What two numbers multiply to 24 and add to 2?

Answer 1

26

Answer 2

To solve this problem you must solve these two equations which just represent the question in equation form.

1) x + y = 2

2) x*y = 24

Use equation 2 to solve for x in terms of y

x = 24/y

Subsitute 24/y into equation 1 for x

x + y = 2

(24/y) + y = 2 which simplifies to y2 - 2y +24 = 0

Using the quadratic formula to solve for the two values of y leads to

y = 1 + 4.796i , 1 - 4.796i

Substituting these values back into equation two, we solve for

x = 1 - 4.796i , 1 + 4.796i

So, the two numbers are 1 + 1.4796i and 1 - 1.4796i

If you meant what two numbers multiply to minus 24 and sum to plus 2, then:

-4 x 6 = -24

-4 + 6 = 2

or multiply to minus 24 and sum to minus 2, then:

4 x -6 = -24

4 + -6 = -2