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Find the Quadratic Polynomial, Sum of Whose Zeroes is `Sqrt2` and Their Product is `(1/3)`. - Mathematics

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Find the quadratic polynomial, sum of whose zeroes is `sqrt2` and their product is `(1/3)`. 

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Solution

We can find the quadratic equation if we know the sum of the roots and product of the roots by using the formula 

`x^2`-(sum of the roots)x+Product of roots =0 

⇒` x^2-sqrt2x+1/3=0` 

`⇒ 3x^2-3sqrt2x+1=0`

Concept: Relationship Between Zeroes and Coefficients of a Polynomial
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