Question

A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104 represents the situation, where x represents the width of the rectangle.

The first step in solving by factoring is to write the equation in standard form, setting one side equal to zero. What is the equation for the situation, written in standard form?

x2 – 99 = 0
x2 – 99x = 0
x2 + 5x + 104 = 0
x2 + 5x – 104 = 0

Answer 1

D

Explanation:

Answer 2

x^2 + 5x - 104 = 0

Explanation:

(x + 5)x = 104 Original equation

x^2 + 5x = 104 Distributive property

x^2 + 5x - 104 = 0 Subtract, make the right side equal to 0