Find the quadratic equations whose roots are the reciprocals of the roots of 2x² + 5x + 3 = 0?
Q1. Find the quadratic equations whose roots are the reciprocals of the roots of 2x² + 5x + 3 = 0?
Answer: 3x² + 5x + 2 = 0
Explanation: To find a quadratic with reciprocal roots, replace x with 1/x in the original and multiply through: 3x² + 5x + 2 = 0.