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How do you solve x4 + x2=1 ?

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±√−1 +√52

answer is D.

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Detailed Solution

x4+x2=1

x2=t t2+t=1 t2+t-1=0
t= − 1 ±√1−4.1.(−1)

2 𝑥 1
t= − 1 ±√5

2
Only t= − 1 +√5

2
x2=− 1 ±√5

2
x=± √−1 +√5
2

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