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Answered by Swarup1998
8

4.

The given polynomial is

p(y) = 5y² - 7y + 1

Since α and β are the zeroes of p(y),

  • α + β = - (- 7)/5 = 7/5
  • αβ = 1/5

Then, 1/α + 1/β

= (β + α)/(αβ)

= (7/5)/(1/5)

= (7/5) × 5

= 7

5.

The given polynomial is

f(x) = x² - x - 4

Since α and β are the zeroes of f(x),

  • α + β = - (- 1)/1 = 1
  • αβ = (- 4)/1 = - 4

Then, 1/α + 1/β - αβ

= (β + α)/(αβ) - αβ

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

= - 1/4 + 4

= (- 1 + 16)/4

= 15/4

Answered by ashwin1232005
5

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Hope this helps.

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