Solve the equation by completing the square. Express any complex numbers using i notation.
-$$x ^ { 2 } + 8 x = 3$$
A) $x = - 4 \pm 2 \sqrt { 19 }$
B) $x = - 4 \pm \sqrt { 19 }$
C) $x = 4 + \sqrt { 19 }$
D) $x = - 1 \pm \sqrt { 19 }$

Question

Quizplus · Accepted Answer

To complete the square, rewrite the equation as $x^2 + 8x + 16 = 19$. This gives $(x + 4)^2 = 19$. Solving for $x$, we get $x + 4 = \pm \sqrt{19}$, so $x = -4 \pm \sqrt{19}$.

Solve the Equation by Completing the Square x2+8x=3x ^ { 2 } + 8 x = 3x2+8x=3

Solve the Equation by Completing the Square $x ^ { 2 } + 8 x = 3$