Question

If alpha and beta are zeros of polynomial f (x) = 5x2 - 7x - 2 .find the zeros of 1 by alpha + 1 by Vita

Answer 1

Answer:

Step-by-step explanation:

F(x) = 5x² - 7x - 2

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

Sum of roots , α + β = -b/a = 7/5

Product of roots, αβ = c/a = -2/5.

1/α + 1/β = α + β / αβ

              = (7/5) / (-2/5)

              = -7/2.