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
\(x^2 + x(m - 2n)+2mn=0\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
x = -m \(\implies\) x + m = 0;
x = 2n \(\implies\) x - 2n = 0.
\(\implies (x + m)(x - 2n) = 0\)
\(x^2 + mx - 2nx - 2mn = 0\)
\(x^2 + x(m - 2n) - 2mn = 0\)
Source: Myschool Past Questions Archive (Record #26414)