if x+1/x = root5, find the value of x4+1/x4
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Answer:x^4+1/x^4=7
Step-by-step explanation:
x+1/x=√5
Squaring both sides
=>(x+1/x)^2=5
=>x^2+1/x^2+2=5
=>x^2+1/x^2=3
Again squaring both sides
=>(x^2+1/x^2)^2=9
=>x^4+1/x^4=7.
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