Question

if the sum and the product of 0s of the polynomial ax^2-6x+c is equal to 12 each find the values of a and c?

Answer 1

Answer:

c = 6 ; a= $\frac{1}{2}$

Step-by-step explanation:

Let  α and β be the roots of given polynomial

         Given ,

                α + β = 12 AND α×β =12

        we have

                    $\alpha +\beta = \frac{-b}{a}     and \\    \alpha X\beta =\frac{c}{a}$

given equation

            $ax^2-6x+c=0$

comparing with

           $ax^2+bx+c=0$

a=a;c=c;b=-6

       α +β = 12

       $\frac{-(-6)}{a} = 12$

         $a =\frac{1}{2}$

αXβ = 12

$\frac{c}{a}= 12$

c = 12 X a

c =6