Question

if alpha and beta are the zeros of polynomial 2x2 -4x+5 find alpa2 + beta 2​

Answer 1

Answer:

Step-by-step explanation:

Originally Answered: If alpha+beta are the roots of the equation 2x2+3x+4=0 then what is the value of alpha2+beta2?

α+β=−32

αβ=2

(α+β)2=94

α2+β2+2αβ=94

α2+β2+4=94

α2+β2=−74

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Subhranil Ghoshal

Subhranil Ghoshal, Maths lover

Answered Jul 20

α+β=−ba

αβ=ca

⟹α+β=−32

⟹(α+β)2=(−34)2

⟹α2+β2+2αβ=94

⟹α2+β2+2⋅42=94

⟹α2+β2=94−4

⟹α2+β2=−74

Answer 2

Here is your answer.

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