Question

Find the quadratic equation whose roots are 2k and 2m

Answer 1

x² - 2xm - 2kx + 4km

Explanation:

Roots of the equation: 2k and 2m

This means x = 2k or x = 2m

x - 2k = 0 or x - 2m = 0

we bring the factors together:

(x - 2k)(x - 2m) = 0

Expand:

x(x - 2m) -2k(x - 2m)

x² - 2xm -2kx + 4km

we can't add the coefficent of x together because the constant k and m are not known.

Hence, the quadratic equation whose roots are 2k and 2m is x² - 2xm - 2kx + 4km