Question

if alpha,beta are the zeroes of x^2-4x+1=0,then I/alpha+1/beta-alpha×beta=​

Answer 1

Answer:

- 5

Step-by-step explanation:

Given :

p ( x ) = x² + 4 x + 1 = 0

= > x² + 4 x + 1 = 0

We know :

α + β = - b / a

α . β = c / a

= > α + β = - 4

= > α . β = 1

Now :

( 1 / α + 1 / β ) - α β

= > ( α + β / α β ) - ( α β )

Putting values here we get :

= > ( - 4 / 1 ) - 1

= > - 4 - 1

= > - 5

Therefore , required answer is - 5 .