I've gone through my workings twice and re-did, but somehow I keep getting an irregularity.

I did it like this.Originally Posted byQuestion

Since the roots are and , I substituted them into the equation.

[tex]\alpha^2 - (q - 5)\alpha = \alpha^2 + (15 - q)\alpha + (50 - 5q)[tex]

Therefore ,

,

But 5-q = 15-q doesn't even make any sense.