Answer:
There are 2 answers
1. smaller number is -32, bigger number is -20
2. smaller number is 16, bigger number is 40
Step-by-step explanation:
Let x be the smaller number.
x(2x+8)= 640
expand
2x²+8x=640
move 640 to the other side and divide everything by 2
2x²+8x-640=0
x²+4x-320=0
use quadratic formulas to expand then group
x²+20x-16x-320=0
x(x+20)-16(x+20)
(x+20)(x-16)
x=-20
x=16
to find the bigger/smaller numbers, use 2x+8
2*-20+8= -32
2*16+8= 40
