Question

Solve the equation :


$px { }^{2} + (2q - p {}^{2} )x - 2pq = 0$
when p is not equal to 0.

Answer 1

$px { }^{2} + (2q - p {}^{2} )x - 2pq = 0$
=px^2+2qx-p^2x-2pq
=px^2-p^2x+2qx-2pq
=px(x-p)+2q(x-p)
=(x-p)(px+2q)=0
x=p,-2q/p