Answers Advanced Algebra Concepts and Connections Completing the Square — QuizQuestion 18

18

QuizMultiple Choice

Completing the Square — Quiz

Question 18 • Advanced Algebra: Concepts and Connections

Solve for x in the equation 2 x squared minus 5 x plus 1 is equal to 3

Answer

A

x is equal to 5 halves plus or minus the fraction with numerator square root of 41 and denominator 4

B

x is equal to 5 fourths plus or minus the fraction with numerator square root of 29 and denominator 2

C

x is equal to 5 halves plus or minus the fraction with numerator square root of 29 and denominator 2

D

x is equal to 5 fourths plus or minus the fraction with numerator square root of 41 and denominator 4

Explanation

Subtract 3 from both sides to get 2x² − 5x − 2 = 0. Using the quadratic formula, x = (5 ± √((-5)² − 4·2·(-2)))/4 = (5 ± √41)/4. This matches the choice x = 5/4 ± √41/4.

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