Question

solve this now... its urgent plz

Answer 1

Answer:

(i) 10001 / 16

(ii) -36/5

Step-by-step explanation:

First, you have α + β = - 11 / 2  and  αβ = 5 / 2, from the coefficients.

Then

( α + β )² = α² + β² + 2αβ  =>  α² + β² = ( α + β )² - 2αβ = (11/2)² - 5 = 101 / 4

Similarly

α⁴ + β⁴ = ( α² + β² )² - 2(αβ)² = (101/4)² - 2(5/2)² = 10001 / 16

For the second part,

( 1/α + 1/β ) ( α + β ) = 2 + α/β + β/α

= 2 + ( α² + β² ) / αβ = 2 + (101/4) / (5/2) = 121 / 10

=> 1/α + 1/β = (121/10) / (α+β) = (121/10) / (-11/2) = -11/5

=> 1/α + 1/β - 2αβ = -11/5 - 2(5/2) = -11/5 - 5 = -36 / 5

Answer 2

Answer:

Step-by-step explanation: