Solve the following equation: 6x(^2) – 7x – 5 = 0
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A.
x = 1/2 or x = -21/2 -
B.
x = 1/3 or x = 21/2 -
C.
x = 1 2/3 or x = –1/2 -
D.
x = 12/3 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})