Question

Solve the given quadratic equation by factorisation method, $x^2+4kx+4k^2=0$

Answer 1

The given quadratic equation $x^2+4kx+4k^2=0$ can be factorised as follows:

$x^2+4kx+4k^2=0\Rightarrow x^2+2kx+2kx+4k^2=0\Rightarrow x(x+2k)+2k(x+2k)=0\Rightarrow (x+2k)=0,(x+2k)=0\Rightarrow x=-2k,x=-2k$

Hence, $x=-2k$