Question

The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where x represents the smaller integer. Which equation can be factored and solved for the smaller integer? x2 + x – 72 = 0 x2 + x + 72 = 0 x2 + 2x – 72 = 0 x2 + 2x + 72 = 0

Answer 1

x2 + x – 72 = 0 (option A)

Answer 2

`{x}^(2) + x - 72 = 0`

Step-by-step explanation

The given equation is

`x(x + 1) = 72`

Expand the parenthesis to obtain;

`{x}^(2) + x = 72`

Add -72 to both sides of the equation.

`{x}^(2) + x - 72 = 0`

Hence the equation that can be factored and solve for the smaller integer is

`{x}^(2) + x - 72 = 0`