please solve this question fast it's very urgent
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Answer:
x²+1/x²=3 and
x⁴+1/x⁴=7
Step-by-step explanation:
x+1/x=√5-------------------(1)
Squaring the (1) equation, we get
(x+1/x)²=(√5)²
(x)²+(1/x)²+2*x*1/x=5 [(a+b)²=a²+2ab+b²]
x²+1/x²+2=5
x²+1/x²=5-2
x²+1/x²=3 ----------------(2)
Squaring the (2) equation, we get
(x²+1/x²)²=(3)²
x⁴+1/x⁴+2*x²*1/x²=9 [(a+b)²=a²+2ab+b²]
x⁴+1/x⁴+2=9
x⁴+1/x⁴=9-2
x⁴+1/x⁴=7
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4
hopefully its helped u dear :)
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