Solve 6x\(^2\) = 5x - 1
A
x = 2,3
B
x = 0,3
C
x = \(\frac{1}{2}\), \(\frac{1}{3}\)
D
x = \(\frac{1}{2}\), \(\frac{-1}{3}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
6x\(^2\) = 5x - 1
→ 6x\(^2\) - 5x + 1 = 0
Factorization:
factors are -3x and -2x
6x\(^2\) - 3x -2x + 1 = 0
(6x\(^2\) - 3x) (-2x + 1) = 0
3x(2x-1) -1(2x-1) = 0
(3x-1) (2x-1) = 0
x = \(\frac{1}{2}\), \(\frac{1}{3}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #65404)