Question

For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second number.

36,13

Answer 1

9 and 4

Explanation:

xy = 36

x+y = 13 or 13 - x = y <====sub this into the first equation

x ( 13-x) = 36

-x^2 + 13x - 36 = 0 multiply the entire equation by -1 to make it easier solve

x^2 -13x+36 = 0 this factors to

(x -9)(x-4) = 0 showing x = 9 or 4 with y being 4 or 9