7
QuizMultiple Select

Solving Quadratic Equations: Factoring

Question 7 • FL-1200700-Mathematics for College Algebra MIS

Which equations can be used to solve for y, the length of the room? Select three options.

Answer
A
y(y + 5) = 750
B
y2 – 5y = 750
C
750 – y(y – 5) = 0
D
y(y – 5) + 750 = 0
E
(y + 25)(y – 30) = 0

Explanation

The room’s dimensions are y and y − 5, and its area is 750, so y(y − 5) = 750. Choice B states this directly, and choice C is the same equation rearranged. Expanding gives y² − 5y − 750 = 0, which factors as (y + 25)(y − 30) = 0, matching choice E.

AI-written and checked against the verified answer.

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