Question

FIND A QUADRATIC POLYNOMAL
WHOSE ZEROS ARE 2+√5 and 2-√5
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2 2
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Answer 1

Answer:

x²-4x-1

Step-by-step explanation:

sum of roots =4 = -b/a

product of roots = -1 =c/a

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Answer 2

${\huge {\mathfrak {Answer :-}}}$

✨THERE IT GOES

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⚠️ The roots are

2 + $\sqrt {5}$ and 2 - $\sqrt {5}$

⚠️ Sum of the roots

= 2 + 2 = 4.

⚠️ Product of the roots

= 4 - 5 = - 1

◾Therefore, your required answer is

➡️ ${} x^2 - 4x - 1 = 0$

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✨HOPE THIS HELPS ✨