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Question

If one root of bi-quadratic equation x4+2x316x222x+7=0is2+3. Find the other three roots.


A

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B

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C

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D

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Solution

The correct option is C


Since irrational roots occurs in pairs

23 must also be a root

x=2+3

x2=3

x24x+4=3

x24x+1=0

Divide x4+2x316x222x+7 by x24x+1 we get the quotient is x2+6x+7
x2+6x+7=0x=3±2


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