Solve the problem.
-If $f ( x ) = 6 x ^ { 2 } - 5 x$ and $g ( x ) = 2 x + 3$, solve for $f ( x ) = g ( x )$
A) $\left\{ \frac { 1 } { 6 } , 1 \right\}$
B) $\left\{ \frac { 3 } { 2 } , - \frac { 1 } { 3 } \right\}$
C) $\left\{ - \frac { 1 } { 2 } , 1 \right\}$
D) $\left\{ \frac { 1 } { 3 } , - \frac { 3 } { 2 } \right\}$

Question

Quizplus · Accepted Answer

To solve $f(x) = g(x)$, we set $6x^2 - 5x = 2x + 3$. Rearranging gives $6x^2 - 7x - 3 = 0$. Factoring or using the quadratic formula, we find the solutions $x = \frac{3}{2}$ and $x = -\frac{1}{3}$, which matches choice B.

Solve the Problem f(x)=6x2−5xf ( x ) = 6 x ^ { 2 } - 5 xf(x)=6x2−5x

Solve the Problem $f ( x ) = 6 x ^ { 2 } - 5 x$