9
QuizMultiple Choice

Solving Quadratic Equations: Completing the Square — Quiz

Question 9 • Algebra: Concepts and Connections

Which are the solutions of the quadratic equation? x squared is equal to 7 x plus 4

Answer
A
7 comma 0
B
negative 7 comma 0
C
the fraction with numerator negative 7 minus square root of 65 and denominator 2 comma the fraction with numerator negative 7 plus square root of 65 and denominator 2
D
the fraction with numerator 7 minus square root of 65 and denominator 2 comma the fraction with numerator 7 plus square root of 65 and denominator 2

Explanation

Move all terms to one side to get x² − 7x − 4 = 0. Using the quadratic formula gives x = (7 ± √((-7)² − 4(1)(−4)))/2 = (7 ± √65)/2. These are the two values listed in choice C.

AI-written and checked against the verified answer.

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