Solve the equation by completing the square.
-$11 \mathrm {~m} ^ { 2 } + 3 \mathrm {~m} = 0$
A) $\frac { 3 } { 11 } , 0$
B) 0
C) $- \frac { 3 } { 11 } , 0$
D) $\pm \frac { 3 } { 11 }$

Question

Quizplus · Accepted Answer

To solve the equation $11m^2 + 3m = 0$ by completing the square, first divide the entire equation by 11 to simplify: $m^2 + \frac{3}{11}m = 0$. Completing the square isn't necessary here because the equation can be factored directly. Factoring out $m$, we get $m(m + \frac{3}{11}) = 0$, which gives the solutions $m = 0$ and $m = -\frac{3}{11}$.

Solve the Equation by Completing the Square 11 m2+3 m=011 \mathrm {~m} ^ { 2 } + 3 \mathrm {~m} = 011 m2+3 m=0

Solve the Equation by Completing the Square $11 \mathrm {~m} ^ { 2 } + 3 \mathrm {~m} = 0$