Question

Find the quadratic polynomials
$\alpha + \beta = 1 \div 4 \\ \alpha \beta = - 1$
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Answer 1

quadratic equation = x 2 − ( α + β ) x + α β = 0

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Hope this will help you

Answer 2

Hey !
The zeroes are $\frac{1 + \sqrt{65} }{8} \: and \: \frac{1 - \sqrt{65} }{8}$
Steps in the attachment.
If any doubt please feel free to ask.

Thank you!