15
QuizMultiple Choice

Completing the Square — Quiz

Question 15 • Advanced Algebra: Concepts and Connections

Solve for x in the equation 2 x squared plus 3 x minus 7 is equal to x squared plus 5 x plus 39

Answer
A
x is equal to 1 plus or minus square root of 33
B
x is equal to negative 6 plus or minus square root of 82
C
x is equal to negative 6 plus or minus 2 square root of 17
D
x is equal to 1 plus or minus square root of 47

Explanation

Subtract the right side from both sides to get x² − 2x − 46 = 0. Using the quadratic formula gives x = (2 ± √(4 + 184))/2 = 1 ± √47. Therefore, the solutions are x = 1 plus or minus the square root of 47, choice D.

AI-written and checked against the verified answer.

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