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If One Zero of the Polynomial `X^2-4x+1 is (2+Sqrt3)` , Write the Other Zero. - Mathematics

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प्रश्न

If one zero of the polynomial `x^2-4x+1 is (2+sqrt3)` , write the other zero. 

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उत्तर

Let the other zeroes of `x^2 – 4x + 1` be a.
By using the relationship between the zeroes of the quadratic polynomial. 

We have, sum of zeroes =`(-("Coefficient of x"))/(("Coefficient of" x^2))` 

∴` 2+sqrt3+a=-((-4))/1` 

⇒` a = 2 – sqrt3` 

Hence, the other zeroes of` x^2 – 4x + 1 is 2 – sqrt3` 

 

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पाठ 2: Polynomials - Exercises 3

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