Question

quadratic polynomial whose zeros are
root 5 and minus root 5




please tell me thos answer​

Answer 1

Answer:

Let α=√5 and αβ= -2√5

Substituting α in αβ

√5β = -2√5

β= \frac{-2\sqrt{5} }{\sqrt{5}}

5

−2

5

∴β=-2

and, α+β= √5+(-2) =√5-2

Hence, the quadratic polynomial so formed is,

=x² - (α+β)x + αβ

=x² - (√5-2)x + (-2√5)

=x² - (√5-2)x - 2√5

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Answer 2

Answer:

α, β are zeros of the quadratic polynomial then sum and product of whose zeroes are √5 and √5 respectively. ∴

α + β = √5

αβ = -√5

α, β are zeros of the quadratic polynomial then the equation is

== x^2 -(α + β) x + αβ

== x^2 -(√5) x + (-√5)

== x^2 -( √5) x - √5

I hope it helpful