Question

If alpha and beta are the zeroes of the polynomial 2x2-4x+5 ,then find the value of 1/alpha - 1/beta - 2alphabeta

Answer 1

Answer:

2x² - 4x +5 =0

α+β = -(-4/2) = 2

αβ = 5/2

i)α² +β² = (α+β)² - 2αβ

            = (2)²- 2×(5/2) = 4-5 

            = -1

ii)(α-β)² = (α+β)² - 4αβ

            =(2)² - 4×(5/2) = 4 - 10

            = -6

i had a helping hand, hope it helps