Solve the quadratic equation using the most efficient technique (factoring, extracting square roots, completing the square, or the quadratic formula).
-$(4 \mathrm{x}+1)^{2}=17$
A) $\left\{\frac{ \pm \sqrt{16}}{4}\right\}$

B) $\left\{\frac{ \pm \sqrt{17}+1}{4}\right\}$

C) $\left\{\frac{-1 \pm \sqrt{17}}{4}\right\}$

D) $\{-1 \pm \sqrt{17}\}$

Question

Solve the quadratic equation using the most efficient technique (factoring, extracting square roots, completing the square, or the quadratic formula).
-$(4 \mathrm{x}+1)^{2}=17$
A) $\left\{\frac{ \pm \sqrt{16}}{4}\right\}$

B) $\left\{\frac{ \pm \sqrt{17}+1}{4}\right\}$

C) $\left\{\frac{-1 \pm \sqrt{17}}{4}\right\}$

D) $\{-1 \pm \sqrt{17}\}$

Quizplus · Accepted Answer

First, simplify the equation: $(4x+1)^2 = 17$. Taking the square root of both sides gives $4x + 1 = \pm\sqrt{17}$. Solving for $x$ yields $x = \frac{-1 \pm \sqrt{17}}{4}$.

Solve the Quadratic Equation Using the Most Efficient Technique (Factoring (4x+1)2=17(4 \mathrm{x}+1)^{2}=17(4x+1)2=17

Solve the Quadratic Equation Using the Most Efficient Technique (Factoring $(4 \mathrm{x}+1)^{2}=17$