Answers Advanced Algebra Concepts and Connections Practice TestQuestion 2

2

practice testMultiple Choice

Practice Test

Question 2 • Advanced Algebra: Concepts and Connections

Using the quadratic formula to solve 11 x squared minus 4 x is equal to 1 , what are the values of x ?

Answer

A

2 over 11 plus or minus the fraction with numerator 2 square root of 15 and denominator 11

B

2 over 11 plus or minus the fraction with numerator square root of 7 and denominator 11

C

2 over 11 plus or minus the fraction with numerator square root of 15 and denominator 11

D

2 over 11 plus or minus the fraction with numerator square root of 7 i and denominator 11

Explanation

Write the equation in standard form: 11x² − 4x − 1 = 0. Using the quadratic formula gives x = (4 ± √((-4)² − 4·11·(−1))) / 22 = (4 ± √60) / 22. Since √60 = 2√15, the solutions are 2/11 ± √15/11, which matches choice A.

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