Solving Quadratic Equations: Completing the Square (Continued) — Quiz

Question 1 • Algebra I

What are the zeros of the quadratic function f of x is equal to 6 x squared plus 12 x minus 7 ?

Answer

x is equal to negative 1 minus the fraction with numerator 2 and denominator square root of 3 and x is equal to negative 1 plus the fraction with numerator 2 and denominator square root of 3

x is equal to negative 1 minus square root of 13 sixths and x is equal to negative 1 plus square root of 13 sixths

x is equal to negative 1 minus the fraction with numerator 1 and denominator square root of 6 and x is equal to negative 1 plus the fraction with numerator 1 and denominator square root of 6

x is equal to negative 1 minus square root of 7 sixths and x is equal to negative 1 plus square root of 7 sixths

Explanation

Set the function equal to zero: 6x² + 12x − 7 = 0. Using the quadratic formula gives x = (−12 ± √(12² − 4·6·(−7)))/(2·6) = (−12 ± √312)/12 = −1 ± √(13/6). These are the zeros in choice B.

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