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

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Mathematics WAEC 1998

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

  • x = -2 or 1/2
  • x = -2 or1
  • x = -2 or 2
  • x = -1 or 2
  • x = -1/2 or 2 checkmark

The correct answer is: 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

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