Solve the equation by completing the square.
-$$\frac { 4 } { 3 } p ^ { 2 } - \frac { 5 } { 3 } p + \frac { 7 } { 3 } = 0$$
A) $$\frac { 5 \pm \mathrm { i } \sqrt { 87 } } { 4 }$$
B) $$\frac { 5 \pm \sqrt { 87 } } { 8 }$$
C) $$\frac { 5 \pm i \sqrt { 87 } } { 8 }$$
D) $$\frac { - 5 \pm \sqrt { 87 } } { 8 }$$

Question

Quizplus · Accepted Answer

After completing the square, the equation becomes $(2p - \frac{5}{6})^2 = -\frac{87}{36}$, leading to complex solutions $\frac{5 \pm i \sqrt{87}}{8}$.

Solve the Equation by Completing the Square 43p2−53p+73=0\frac { 4 } { 3 } p ^ { 2 } - \frac { 5 } { 3 } p + \frac { 7 } { 3 } = 034​p2−35​p+37​=0

Solve the Equation by Completing the Square $\frac { 4 } { 3 } p ^ { 2 } - \frac { 5 } { 3 } p + \frac { 7 } { 3 } = 0$