Question

how to find
$\alpha$
and
$\beta$
please give any hint

Answer 1

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Answer 2

Hello user

5x^2 +5x +1 = 0

so, alpha + beta = -1

alpha * beta = 1/5

sq. both sides we get

alpha^2 + beta^2 + 2alpha * beta = 1

so, alpha^2 + beta^2 = 1 - 2/5

alpha^2 + beta^2 = 3/5. ....(1)

And , (alpha+ beta)^2 = 1