Question

Two negative integers are 8 units apart on the number line and have a product of 308.

Which equation could be used to determine x, the smaller negative integer?

x2 + 8x – 308 = 0
x2 – 8x + 308 = 0
x2 + 8x + 308 = 0
x2 − 8x − 308 = 0

Answer 1

that answer is letter A on E2020

Answer 2

Calll x the smaller negative number.

The larger number will be x + 8

The product will be x(x+8) = 308

An the equation:

x^2 + 8x = 308
x^2 + 8x - 308 =0

If you solve that equation you will get x = -22 and x = 14.

The result that you are looking is the negative, x = -22.

The larger number is -22 + 8 = -14.

(-22)*(-14) = 308

Answer: x^2 + 8x - 308 =0