Solve the equation.
-$$\frac { 5 x ^ { 2 } } { 11 } - \frac { 29 x } { 77 } + \frac { 6 } { 77 } = 0$$
A) $\{ 3,2 \}$
B) $\left\{ \frac { 3 } { 7 } , \frac { 2 } { 5 } \right\}$
C) $\{ - 3 , - 2 \}$
D) $\left\{ - \frac { 3 } { 7 } , - \frac { 2 } { 5 } \right\}$

Question

Quizplus · Accepted Answer

To solve the given equation, $\frac { 5 x ^ { 2 } } { 11 } - \frac { 29 x } { 77 } + \frac { 6 } { 77 } = 0$, we first simplify it by finding a common denominator, which is already given as 77 (since $11 \times 7 = 77$). The equation is already in a simplified form, so we can directly apply the quadratic formula or factor it if possible. Factoring or using the quadratic formula will lead to the solutions $\frac { 3 } { 7 } , \frac { 2 } { 5 }$, which corresponds to choice B.

Solve the Equation 5x211−29x77+677=0\frac { 5 x ^ { 2 } } { 11 } - \frac { 29 x } { 77 } + \frac { 6 } { 77 } = 0115x2​−7729x​+776​=0

Solve the Equation $\frac { 5 x ^ { 2 } } { 11 } - \frac { 29 x } { 77 } + \frac { 6 } { 77 } = 0$