9
QuizMultiple Choice

Modeling with Quadratic Equations

Question 9 • FL-1200700-Mathematics for College Algebra MIS

The product of two consecutive integers is 342. Which quadratic equation can be used to find x, the greater number?

Answer
A
x2 + 1 = 342
B
x2 − 1 = 342
C
x2 − x + 342 = 0
D
x2 − x − 342 = 0

Explanation

If x is the greater integer, the smaller consecutive integer is x − 1. Their product is x(x − 1), so set x(x − 1) = 342 and expand to get x² − x − 342 = 0. This is choice D.

AI-written and checked against the verified answer.

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