81960
AssignmentMultiple Choice

Solving Quadratic Equations: Completing the Square

Question 81960 • FL-1200700-Mathematics for College Algebra MIS

Solve x2 + 8x = 33 by completing the square. Which is the solution set of the equation?

Answer
A
{–11, 3}
B
{–3, 11}
C
{–4, 4}
D
{–7, 7}

Explanation

To complete the square, add 16 to both sides because half of 8 is 4 and 4² = 16. Then (x + 4)² = 49, so x + 4 = 7 or x + 4 = −7, giving x = 3 or x = −11; the solution set {−11, 3} is choice A.

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