Question

For brainliest, answer 13 th Ques.

Answer 1

Answer:

133/20

Step-by-step explanation:

Given Quadratic Equation is 2x² - 7x + 5.

On comparing with ax² + bx + c, we get

a = 2, b = -7, c = 5.

(i) Sum of roots:

α + β = -b/a

        = 7/2

(ii) Product of roots:

αβ = 5/2

Given: α²/β + β²/α

= α³ + β³/αβ

= [(α + β)³ - 3αβ(α + β)]/αβ

= [(7/2)³ - 3(5/2)(7/2)]/(5/2)

= 133/20.

Hope it helps!