Find the quadratic equation whose roots are -\(\frac{1}{2}\) and 3
A
2x2 - 2x + 3 = 0
B
2x2 - 2x - 3 = 0
C
2x2 - 5x - 3 = 0
D
3x2 - 5x - 3 = 0
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
x = \(\frac{-1}{2}\)
x = 3
2x = -1, x = 3; 2x + 1 = 0
x - 3 = 0
(2x + 1)(x - 3) = 0
2x2 - 6x + x - 3 = 0
2x2 - 5x - 3 = 0
Source: WAEC / JAMB / NECO Classroom Archive (Record #36476)