Find the quadratic equations whose roots are the reciprocals of the roots of 2x² + 5x + 3 = 0?

A. 3x² + 5x – 2 = 0
B. 3x² + 5x + 2 = 0
C. 3x² – 5x + 2 = 0
D. 3x² – 5x – 2 = 0

The quadratic equation whose roots are reciprocal of 2x² + 5x + 3 = 0 can be obtained by replacing x by 1/x.
Hence, 2(1/x)² + 5(1/x) + 3 = 0
=> 3x² + 5x + 2 = 0

Correct Answer: B. 3x² + 5x + 2 = 0 ✔

Last Updated: February 08, 2020