Math, asked by Csv1121, 1 year ago

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?

Answers

Answered by Venkatesh0
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

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