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Formation of a Quadratic Equation From It's Roots

If α, β are t...

Question

If α, β are the zeros of the polynomial 2y² + 7y + 5, write the value of α + β + αβ.

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Solution

Let and are the zeros of the polynomial .Then

The sum of the zeros The product of the zeros =

Then the value of is

Hence, the value of is

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α, β

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Q. If α and β are the zeroes of a polynomial 2x² + 7x + 5, write the value of α + β + αβ. [CBSE 2010]

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Formation of a Quadratic Equation From It's Roots

Standard X Mathematics

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