Question

If one zero of the polynomial (a+5)xsquare + 13x +6a is reciprocal of the other find value of a

Answer 1

Answer:

Just see the image.

Hope it helps.

For your information sum of roots = coefficient of x/coefficient of x^2 and

Product of roots= constant/coefficient of x^2

Answer 2

Given:- If one zero is reciprocal of the other i.e.α=1/β

To find: Value of a  

Sol.:- αβ = c/a

     1/β*β=6a/a+5

        1    = 6a/a+5

        a+5=6a

           5 = 5a  

            a=1

Therefore, Value of a=1.