Question

X=2/3 & x=-3 are roots of quad eqn ax2+7x+b=0 find the vlue of a and b

Answer 1

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Answer 2

If a & b are the roots of an equation, then then (x-a)(x-b)=0  is a quadratic equation.

 x = 2/3, x = -3 are roots, then the equationn will be

   ---> (x-2/3)(x-(-3))=0

(x-2/3)(x+3) = 0

 x^2-(2/3)x+3x-2 = 0

 3x^2-2x+9x-6=0

 3x^2+7x-6=0 required equation

comparing above equation with general equation

and general equation is  ax2+7x+b=0

so that, a=3 & b= -6