The roots of a quadratic equation are 4/3 and -3/7. Find the equation

A. 21x² – 19x – 12 = 0
B. 21x² + 37x – 12 = 0
C. 21x² – x + 12 = 0
D. 21x² + 7x – 4 = 0

Correct Answer: Option A

A. 21x² – 19x – 12 = 0

Explanation

Let x = 4/3, x = -3/7

Then 3x = 4, 7x = -3

3x – 4 = 0, 7x + 3 = 0

(3x – 4)(7x + 3) = 0

21x² + 9x – 28x – 12 = 0

21x² – 19x – 12 = 0