if (x+1/x) = 4 then find the value of x^2+1/x^2 and x^4+1/x^4
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Answer:
x+1/x = 4
=> (x+1/x)² = (4)²
=> x²+1/x²+2 = 16
=> x²+1/x² = 16-2
=> x²+1/x² = 14
=> (x²+1/x²)² = (14)²
=> x⁴+1/x⁴+2 = 196
=> x⁴+1/x⁴ = 196-2
=> x⁴+1/x⁴ = 194
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