Question

What 2 numbers can be added to make 16 as well as multiplied to make -36

Answer 1

18 and -2

Explanation:

Let x = 1st no.

y = 2nd no.

(1) x + y = 16 (2) xy = -36

y = 16 - x x(16 - x) = -36

`16x - x^(2) = -36\\x^(2) - 16x - 36 = 0\\`

(x - 18)(x + 2) = 0

x = 18 or x = -2

y = 16 - 18 = -2

y = 16 -(- 2) = 16 + 2 - 18

The two numbers are 18 and -2