If x=32​ and x=−3 are roots of the quadratic equation ax2+7x+b=0, find the value of a and b.

If x=32​,x=−3 are roots of the equation ax2+7x+b=0 then(x−32​)(x−(−3))=0⇒(x−32​)(x+3)=0⇒x2−32​x+3x−2=0⇒x2+37​x−2=0⇒3x²+7x−6=0Compare the equation with ax²+7x+b=0Therefore, a=3,b=−6