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Formation of a Quadratic Equation From It's Roots

If α and β ar...

Question

If α and β are the zeros of the quadratic polynomial p(y) = 5y² − 7y + 1, find the value of $\frac{1}{α} + \frac{1}{β}$ .

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Solution

Since α and β are the zeros of the quadratic polynomial

We have,

By substituting and we get ,

Hence, the value of is.

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Formation of a Quadratic Equation From It's Roots

Standard X Mathematics

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