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

ANSWER

${x}^{2} + x - 72 = 0$

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

${x}^{2} + x - 72 = 0$

Answer 2

Answer:

x^2+x-72=0

Step-by-step explanation: