Find the equation whose roots are 3/4 and -4

A. 4x² – 13x + 12 = 0
B. 4x² – 13x – 12 = 0
C. 4x² + 13x – 12 = 0
D. 4x² + 13x + 12 = 0

Correct Answer: Option C

C. 4x² + 13x – 12 = 0

Explanation

Let x = 3/4 or x = -4

i.e. 4x = 3 or x = -4

(4x – 3)(x + 4) = 0

therefore, 4x² + 13x – 12 = 0