The roots of a quadratic equation are -1/4 and 3. The quadratic equation is
A
4x2 - 13x - 3 = 0
B
4x2 - 11x - 3 = 0
C
4x2 + 11x - 3 = 0
D
3x2 - 11x - 3 = 0
E
3x2 - 11x + 3 = 0
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
The roots of a quadratic equation are -\(\frac{1}{4}\) and 3.
The quadratic equation in x
x = -\(\frac{1}{4}\) or 3
(x + \(\frac{1}{4}\)) = 0 or (x - 3) = 0
(x + \(\frac{1}{4}\))(x - 3) = 0
x\(^2\) - 3x + \(\frac{x}{4}\) - 3(\(\frac{1}{4}\)) = 0
x\(^2\) - \(\frac{11x}{4}\) - \(\frac{3}{4}\) = 0
multiply thru by 4
4x\(^2\) - 11x - 3 = 0
Source: Myschool Past Questions Archive (Record #23806)