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QuizMultiple Choice

Solving Quadratic Equations: Quadratic Formula — Unit test

Question 2 • FL-1200700-Mathematics for College Algebra MIS

Solve x2 − 24x = −80 by completing the square.What is the solution set of the equation?

Answer
A
{2, 40}
B
{4, 20}
C
{5, 16}
D
{8, 10}

Explanation

To complete the square, take half of −24, which is −12, and square it to get 144. Add 144 to both sides: x² − 24x + 144 = 64, so (x − 12)² = 64. Taking square roots gives x − 12 = ±8, so x = 4 or x = 20. The solution set is {4, 20}, choice B.

AI-written and checked against the verified answer.

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