17
QuizMultiple Choice

Completing the Square — Quiz

Question 17 • Advanced Algebra: Concepts and Connections

Solve for x in the equation x squared minus 12 x plus 59 is equal to 0

Answer
A
x is equal to negative 6 plus or minus square root of 23 i
B
x is equal to 6 plus or minus square root of 23 i
C
x is equal to negative 12 plus or minus square root of 85
D
x is equal to 12 plus or minus square root of 85

Explanation

Use the quadratic formula for x² − 12x + 59 = 0. The discriminant is (−12)² − 4(1)(59) = 144 − 236 = −92, so the roots are [12 ± √(−92)]/2 = 6 ± √23 i. Therefore, the solution is x = 6 ± √23 i, choice B.

AI-written and checked against the verified answer.

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