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Q.

How do you solve x4 + x2=1 ?

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a

 4

b

 6Question Image

c

0

d

±−1 +√52 

answer is D.

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Detailed Solution

x4+x2=1
Question Imagex2=t t2+t=1 t2+t-1=0
t= 1 ±14.1.(−1)
Question Image2 𝑥 1
t= 1 ±5
Question Image2
Only t= − 1 +√5
Question Image2
x2= 1 ±5
Question Image2
x=± −1 +√5
2
        

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How do you solve x4 + x2=1 ?