find a quadritic polynomial with zeroes 3+ root 2 and 3-root 2. Created by alishaagra99. Math

find a quadritic polynomial with zeroes 3+ root 2 and 3-root 2...

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alishaagra99 @alishaagra99

August 2021 2 16 Report

find a quadritic polynomial with zeroes 3+ root 2 and 3-root 2

parisakura98pari

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Sum of roots = 3 + √2 + 3 - √2 = 6
product of roots = (3+√2)(3-√2) = 9-2 = 7

so quadratic eqn = x² - x(sum of roots) + product of roots
⇒ x² - 6x +7 = 0

deepikakvvk06

Verified answer

Hello there !!

Zeroes = 3 + √2 , 3 - √2

Sum of zeroes = 3 + √2 + 3 - √2 = 6

product of zeroes = (3+√2) x (3-√2) =3² - [√2]²
= 9 - 2 = 7

quadratic eqquation = x² - (sum of roots)x + product of roots
---) x² - 6x +7 = 0

Hope this Helped You !!

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