Complex Numbers And Quadratic Equations question 563

Question: If $ 3p^{2}=5p+2 $ and $ 3q^{2}=5q+2 $ , where , then pq is equal to

Options:

A) $ \frac{2}{3} $

B) $ -\frac{2}{3} $

C) $ \frac{3}{2} $

D) $ -\frac{3}{2} $

Show Answer

Answer:

Correct Answer: B

Solution:

According to the given conditions, p and q are the roots of equation $ 3x^{2}-5x-2=0 $ . Therefore $ p.q=-\frac{2}{3} $ .