Solve the equation by completing the square.
-$$x ^ { 2 } + 5 x - 5 = 0$$
A) $\left\{ \frac { 5 + 3 \sqrt { 5 } } { 2 } \right\}$
B) $\{ - 5 \pm 3 \sqrt { 5 } \}$
C) $\left\{ \frac { - 5 - 3 \sqrt { 5 } } { 2 } \right\}$
D) $\left\{ \frac { - 5 \pm 3 \sqrt { 5 } } { 2 } \right\}$

Question

Quizplus · Accepted Answer

\begin{align*}
x ^ { 2 } + 5 x - 5 &= 0\
x ^ { 2 } + 5 x &= 5\
x ^ { 2 } + 5 x +\left( \frac{5}{2}ight)^2 &= 5+\left( \frac{5}{2}ight)^2\
\left( x + \frac{5}{2}ight)^2 &= \frac{45}{4}\
x + \frac{5}{2}&=\pm\frac{3\sqrt{5}}{2}\
x &= \frac{-5\pm 3\sqrt{5}}{2}
\end{align*}

Solve the Equation by Completing the Square x2+5x−5=0x ^ { 2 } + 5 x - 5 = 0x2+5x−5=0

Solve the Equation by Completing the Square $x ^ { 2 } + 5 x - 5 = 0$