<s>[INST] How do I transform the equation based on this condition? If a and b are the roots of the equation $$2x^2-px+7=0$$ Then a-b is a root of ? 
 [/INST] So, $a+b=\frac{p}{2}$  and $ab=\frac{7}{2}$
If $y=a-b=>y^2=(a+b)^2-4ab$
$=>y^2=(\frac{p}{2})^2-4 \frac{7}{2}$
So, a-b is a root of $4y^2-p^2+56=0$
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