2
QuizMultiple Choice

The Quadratic Formula — Quiz

Question 2 • Advanced Algebra: Concepts and Connections

Using the quadratic formula to solve 7 x squared minus x is equal to 7 , what are the values of x ?

Answer
A
the fraction with numerator 1 plus or minus square root of 197 and denominator 14
B
the fraction with numerator 1 plus or minus square root of 197 i and denominator 14
C
the fraction with numerator 1 plus or minus square root of 195 i and denominator 14
D
the fraction with numerator 1 plus or minus square root of 195 and denominator 14

Explanation

Write the equation in standard form: 7x² − x − 7 = 0, so a = 7, b = −1, and c = −7. The quadratic formula gives x = (1 ± √[(-1)² − 4(7)(−7)]) / 14 = (1 ± √197) / 14. Therefore, the solutions are the fraction with numerator 1 plus or minus √197 and denominator 14.

AI-written and checked against the verified answer.

Previous
Next