Use the Sridhar-Acharya form of roots, that will give u directly....
if one of the root of quadratic equation x2+ax+b=0
be the other root of x2+cx+d=0then prove that its other root is of the equation x2+(2a-c)x+(a2-ac+d)
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if one of the root of quadratic equation x2+ax+b=0
be the other root of x2+cx+d=0then prove that its other root is of the equation x2+(2a-c)x+(a2-ac+d)