Mathematics

Find the root of the equation 2x(^2) – 3x – 2 = 0

Find the root of the equation 2x(^2) – 3x – 2 = 0

  • A.
    x = -2 or 1/2
  • B.
    x = -2 or1
  • C.
    x = -2 or 2
  • D.
    x = -1 or 2
  • E.
    x = -1/2 or 2
Correct Answer: Option E
Explanation

2x(^2) – 3x – 2 = 0

2x(^2) – 4x + x – 2 = 0

2x(x – 2) + 1(x – 2) = 0

(2x + 1)(x – 2) = 0

x = (frac{-1}{2}) or x = 2