Solve the equation by factoring. $6 w ^ { 2 } = 11 w - 3$
A) $w = 3 / 2 , w = 3 / 5$
B) $w = 1 / 5 , w = 1 / 3$
C) $w = 3 / 11 , w = 3 / 2$
D) $w = 3 / 2 , w = 1 / 3$
E) none of these

Question

Quizplus · Accepted Answer

Rearranging the equation, we get $6w^2-11w+3=0$. Factoring, we want two numbers that multiply to $6\cdot3=18$ and add to $-11$. The numbers are $-2$ and $-9$. Thus, we can write the equation as $(2w-1)(3w-1)=0$, giving us $w=\frac12$ and $w=\frac13$. So, the answer is D.

Solve the Equation by Factoring 6w2=11w−36 w ^ { 2 } = 11 w - 36w2=11w−3

Solve the Equation by Factoring $6 w ^ { 2 } = 11 w - 3$