Solve the following equation: 6x(^2) – 7x – 5 = 0
- A.
x = ^{1}/_{2} or x = -2^{1}/_{2} - B.
x = 1/3 or x = 2^{1}/_{2} - C.
x = 1 ^{2}/3 or x = –^{1}/_{2} - D.
x = 1^{2}/3 or x = ^{1}/_{2} - E.
x = 5/6 or x = -1
Correct Answer: Option C
Explanation
6x(^2) – 7x – 5 = 0
6x(^2) – 10x + 3x – 5 = 0
2x(3x – 5) + 1(3x – 5) = 0
(2x + 1)(3x – 5) = 0
x = (frac{5}{3}) or x = (-frac{1}{2})