Find the equation whose roots are \(\frac{3}{4}\) and -4
A
4x2 - 13x + 12 = 0
B
4x2 - 13x - 12 = 0
C
4x2 + 13x - 12 = 0
D
4x2 + 13x + 12 = 0
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Let x = \(\frac{3}{4}\) or x = -4
i.e. 4x = 3 or x = -4
(4x - 3)(x + 4) = 0
therefore, 4x2 + 13x - 12 = 0
Source: Myschool Past Questions Archive (Record #45707)