Solving Quadratic Equations: Completing the Square — Quiz

Question 8 • Algebra: Concepts and Connections

Which are the solutions of x squared is equal to negative 11 x plus 4 ?

Answer

the fraction with numerator 11 minus square root of 137 and denominator 2 comma the fraction with numerator 11 plus square root of 137 and denominator 2

the fraction with numerator 11 minus square root of 125 and denominator 2 comma the fraction with numerator 11 plus square root of 125 and denominator 2

the fraction with numerator negative 11 minus square root of 137 and denominator 2 comma the fraction with numerator negative 11 plus square root of 137 and denominator 2

the fraction with numerator negative 11 minus square root of 125 and denominator 2 comma the fraction with numerator negative 11 plus square root of 125 and denominator 2

Explanation

Move all terms to one side to get x² + 11x − 4 = 0. Using the quadratic formula, x = (−11 ± √(11² − 4·1·(−4)))/2 = (−11 ± √137)/2. These are the two values listed in choice D.

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