1.

iIf α and β are the zeros of the quadratic polynomial f(x)= x(x-4), find the value of 1/α +1/β -2αβ.​ ​

Answer» \huge\textbf{Good\:Mning}

Your answer:

The given polynomial is

f (x) = x² - x - 4

Since α and β are the zeros of f (x),

α + β = - (- 1)/1

⇒ α +β = 1 ...(i)

and

αβ = - 4/1 

⇒ αβ = - 4 ...(II)

Now,

1/α + 1/β - αβ

= (α + β)/(αβ) - (αβ)

= 1/(- 4) - (- 4)

= - 1/4 + 4

= (- 1 + 16)/4

= 15/4

#Hope it will HELP you.....I think it's correct!!


Discussion

No Comment Found

Related InterviewSolutions