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QuizMultiple Choice

The Quadratic Formula — Quiz

Question 1 • Advanced Algebra: Concepts and Connections

Using the quadratic formula to solve x squared is equal to 5 minus x , what are the values of x ?

Answer
A
the fraction with numerator 1 plus or minus square root of 19 i and denominator 2
B
the fraction with numerator negative 1 plus or minus square root of 19 i and denominator 2
C
the fraction with numerator 5 plus or minus square root of 21 and denominator 2
D
the fraction with numerator negative 1 plus or minus square root of 21 and denominator 2

Explanation

Rewrite the equation in standard form: x² + x − 5 = 0. Here a = 1, b = 1, and c = −5, so the quadratic formula gives x = (−1 ± √(1² − 4(1)(−5)))/2 = (−1 ± √21)/2. These are the values in choice D.

AI-written and checked against the verified answer.

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