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Find the quadratic polynomial whose zeros …

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Find the quadratic polynomial whose zeros are 2+√3 and 2-√3.

Posted by Diya Paul 6 years, 3 months ago

CBSE > Class 10 > Mathematics

3 answers

Ram ? 6 years, 3 months ago

X^2-4x+1

0Thank You

Jatin Kumar 6 years, 3 months ago

Sum of zero is 2+√3 Product of zero is 2-√3 X^2+(2+√3)x+(2-√3) X^2+2+√3x+2-√3

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Mayank Sharma 6 years, 3 months ago

Let one zero be alpha and other be beeta. Alpha=2+√3 and beeta=2-√3. Sum of zero= Alpha+ beeta. 2+√3+2-√3=4... Product of zero= alpha× beeta= 2+√3×2-√3= (2)²-(√3)²= 4-3=1. X²- sum of zero(x)+ product of zero X²- 4x+1.

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