Question

Alpha and beta are zeros of 4x^2-5x-1.find (alpha^2xbeta)+(alpha×beta^2)

Answer 1

Answer:

- 5 / 16.

Step-by-step explanation:

We know,

          quadratic polynomials / equations represent sum and product of their roots as S and P in the equation in form of x^2 - Sx + P = 0.

    Therefore, here,

      Sum of roots = 5 / 4  

      Product of roots = - 1 / 4.

⇒ α^2 β + α β^2

⇒ αβ( α + β )

⇒ Product of roots( sum of roots )

⇒ ( - 1 / 4 ) ( 5 / 4 )                { from above }

⇒ - 5 / 16