if x+1/x=5, find the value of x²+1/x²
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Answer: 23
Step-by-step explanation:
( x + 1/x ) = 5
=> ( x + 1/x )^2 = 5^2
=> x^2 + 1/x^2 + 2*x*1/x = 25
=> x^2 + 1/x^2 = 25 - 3
=> x^2 + 1/x^2 = 23.
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