Math, asked by Sohaan28, 4 months ago

If x + 1 / x = 4 ,Find x⁴ + 1 / x

Answers

Answered by jbgirlyyy98e
0

Answer: x + 1/x = 4

Squaring both sides,

(x + 1/x)² = 4²

x² + 1/x² + 2×x×1/x = 16

x² + 1/x² + 2 = 16

x² + 1/x² = 14

Now, again squaring both sides,

(x² + 1/x²)² = 14²

x⁴ + 1/x⁴ + 2×x²×1/x² = 196

x⁴ + 1/x⁴ + 2 = 196

∴ x⁴ + 1/x⁴ = 194

Step-by-step explanation:

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