मराठी

Find the Zeroes of the Quadratic Polynomial `F(X) = 6x^2 – 3.` - Mathematics

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प्रश्न

Find the zeroes of the quadratic polynomial `f(x) = 6x^2 – 3.` 

 

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उत्तर

To find the zeroes of the quadratic polynomial we will equate f(x) to 0 

`∴f(x) = 0`
`⇒ 6x^2 – 3 = 0`
`⇒ 3(2x^2 – 1) = 0`
`⇒ 2x^2 – 1 = 0`
`⇒2x^2 = 1 ` 

`⇒x^2=1/2` 

`⇒ x=+-1/sqrt2` 

Hence, the zeroes of the quadratic polynomial f(x) =  `6x^2-3 are 1/sqrt2,-1/sqrt2`

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पाठ 2: Polynomials - Exercises 3

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