Solve the equation by completing the square.
-$$q ^ { 2 } + 8 q - 3 = 0$$
A) $4 + \sqrt { 19 }$
B) $- 4 \pm 2 \sqrt { 19 }$
C) $- 1 \pm \sqrt { 19 }$
D) $- 4 \pm \sqrt { 19 }$

Name: Solve the equation by completing the square. -\[q ^ { 2 } + 8 q - 3 = 0\] A) $4 + \sqrt { 19 }$ B) $- 4 \pm 2 \sqrt { 19 }$ C) $- 1 \pm \sqrt { 19 }$ D) $- 4 \pm \sqrt { 19 }$
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Question

Quizplus · Accepted Answer

To complete the square, rewrite the equation as $(q + 4)^2 = 19$. Solving gives $q = -4 \pm \sqrt{19}$.

Solve the Equation by Completing the Square q2+8q−3=0q ^ { 2 } + 8 q - 3 = 0q2+8q−3=0

Solve the Equation by Completing the Square $q ^ { 2 } + 8 q - 3 = 0$