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

Question 10 • Algebra I

What are the zeros of the quadratic function f of x is equal to 2 x squared plus 16 x minus 9 ?

Answer

x is equal to negative 4 minus square root of 21 halves and x is equal to negative 4 plus square root of 21 halves

x is equal to negative 4 minus square root of 41 halves and x is equal to negative 4 plus square root of 41 halves

x is equal to negative 4 minus square root of 7 halves and x is equal to negative 4 plus square root of 7 halves

x is equal to negative 4 minus square root of 25 halves and x is equal to negative 4 plus square root of 25 halves

Explanation

Set the function equal to zero: 2x² + 16x − 9 = 0. Using the quadratic formula gives x = (−16 ± √(16² − 4·2·(−9))) ÷ 4 = (−16 ± √328) ÷ 4 = −4 ± √41/2. These zeros match choice B.

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