Question

if a & b are the zeros of the quadratic polynomial p(x)=5y2-7+1,find the value of. 1/a+1/b​

Answer 1

Answer:

7

Step-by-step explanation:

We know,

          quadratic polynomial in the form x^2 - Sx + P represents the sum and product of its roots as - S and P.

So, here, polynomial is 5y^2 - 7y + 1.

       Sum of roots = - S = - 7 / 5

                             = S = 7 / 5

        Product of roots = 1 / 5

⇒ 1 / a + 1 / b

⇒ ( a + b ) / ab

⇒ ( sum of roots ) / product of roots

⇒ ( 7 / 5 ) / ( 1 / 5 )

⇒ 7