The root of a quadratic equation in x, are -m and 2n. Find the equation...
MATHEMATICS
WAEC 1999
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. \(x^2 + x(m - 2n)+2mn=0\)
Correct Answer: A. \(x^2 + x(m - 2n)-2mn=0\)
Explanation
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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