The root of a quadratic equation in x, are -m and 2n. Find the equation

  • A \(x^2 + x(m - 2n)-2mn=0\)
  • B \(x^2 - x(m - 2n)-2mn=0\)
  • C \(x^2 - x(m - 2n)+2mn=0\)
  • D \(x^2 + x(m - 2n)+2mn=0\)
waec 1999mathematics

The correct answer is A. \(x^2 + x(m - 2n)-2mn=0\)

x = -m \(\implies\) x + m = 0;

x = 2n \(\implies\) x - 2n = 0.

\(\implies (x + m)(x - 2n) = 0\)

\(x^2 + mx - 2nx - 2mn = 0\)

\(x^2 + x(m - 2n) - 2mn = 0\)

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