4
QuizMultiple Choice

Solving Quadratic Equations: Completing the Square — Quiz

Question 4 • Algebra: Concepts and Connections

Which are the solutions of the quadratic equation? x squared is equal to negative 5 x negative 3

Answer
A
the fraction with numerator negative 5 minus square root of 13 and denominator 2 comma the fraction with numerator negative 5 plus square root of 13 and denominator 2
B
5 comma 0
C
negative 5 comma 0
D
the fraction with numerator 5 minus square root of 13 and denominator 2 comma the fraction with numerator 5 plus square root of 13 and denominator 2

Explanation

Rewrite the equation x² = −5x − 3 as x² + 5x + 3 = 0. Using the quadratic formula gives x = (−5 ± √(5² − 4·1·3))/2 = (−5 ± √13)/2. These are the two values in choice D.

AI-written and checked against the verified answer.

Previous
Next