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Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. 0 , root 5

Q2 (3)  Find a quadratic polynomial each with the given numbers as the sum and product of zeroes respectively. 0,\sqrt{5}

Answers (1)
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S Sayak

\\\alpha +\beta =0\\ \alpha \beta =\sqrt{5}

\\x^{2}-(\alpha +\beta )+\alpha \beta =0\\ x^{2}-0x+\sqrt{5}=0\\ x^{2}+\sqrt{5}=0

The required quadratic polynomial is x2 + \sqrt{5}.

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