Mathematics

Solve the following equation: 6x(^2) – 7x – 5 = 0

Solve the following equation: 6x(^2) – 7x – 5 = 0

  • 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})