Solve the equation. $81 a ^ { 2 } - 180 a + 100 = 0$
A) $\left\{ - \frac { 10 } { 9 } \right\}$
B) $\left\{ \frac { 10 } { 9 } , \frac { 9 } { 10 } \right\}$
C) $\left\{ \frac { 10 } { 9 } \right\}$
D) $\left\{ \frac { 9 } { 10 } \right\}$
E) none of these

Question

Quizplus · Accepted Answer

Factoring the left side of the equation gives:$$(9a - 10)(9a - 10) = 0$$Setting each factor equal to zero and solving for a gives:$$9a - 10 = 0$$$$9a = 10$$$$a = \frac{10}{9}$$Therefore, the only solution to the equation is $a = \frac{10}{9}$.

Solve the Equation 81a2−180a+100=081 a ^ { 2 } - 180 a + 100 = 081a2−180a+100=0

Solve the Equation $81 a ^ { 2 } - 180 a + 100 = 0$