Question

Factors of -2016 when added the answer should be 20 and the product to be -2016

Answer 1

If one factor is x then the other is 20-x because their sum is 20.

Their product is x(20-x)=-2016,

20x-x²=-2016,

x²-20x=2016,

x²-20x+100=2116,

(x-10)²=2116=46²,

x-10=±46, x=10+46=56, 10-46=-36.

The two numbers are 56 and -36 or -56 and 36.