Question

The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where

represents the smaller integer. Which equation can be factored and solved for the smaller integer?
1 x2 + x-72=0
x2+x+72 = 0
2 + 2x - 72 = 0
2 + 2x + 72=0
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Intro

Answer 1

x^2 + x-72=0

Explanation:

x(x+1) =72

Distribute

x^2 +x = 72

Subtract 72 from each side

x^2 +x - 72 = 0

Now this is the equation we can factor