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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. 

 

 

उत्तर

Let the other zero of the given polynomial be . α   

Now, 

Sum of the zeroes of the given polynomial =`-(-4)/1=4` 

∴ `α +(2+sqrt3)=4` 

⇒` α=4-2-sqrt3=2-sqrt3` 

Hence, the other zero of the given polynomial is `(2-sqrt3)` 

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अध्याय 10: Quadratic Equations - Exercises 6

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आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 10 Quadratic Equations
Exercises 6 | Q 41

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