Question

If α,β,γ be zeros of polynomial 6x3 + 3x2− 5x + 1, then find the value of α−1+β−1+γ−1.

Answer 1

Answer:

Given α,β & ɣ are the roots of the polynomials 6x³ + 3x² - 5x + 1 = 0 then

α+β+ɣ  = -3/6 = -1/2

αβ+βɣ+αɣ = -5/6

αβɣ = -1/6

α⁻¹ + β⁻¹ + ɣ⁻¹  = 1/α + 1/β + 1/ɣ

                      = (αβ+βɣ+αɣ) / αβɣ

                       = -5/6 / -1/6

                      = 5

hope it helps!!