Question

Find the value of x⁴+1/x⁴, when
x+1/=4

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Answer 1

Answer:

194

Step-by-step explanation:

x + 1/x = 4

X²+1/x² +2 =16

x²+1/x²= 14

x^4+1/x^4 +2 = 14² = 196

x^4+1/x^4 = 194

Answer 2

x + 1/x = 4 ----- (1)

squaring equation (1)

(x + 1/x)² = 4²

x² + 1/x² + 2 × x × 1/x = 16

x² + 1/x² + 2 = 16

x² + 1/x² = 16 - 2

x² + 1/x² = 14 ----- (2)

squaring equation (2)

(x² + 1/x²)² = 14²

x⁴ + 1/x⁴ + 2 × x² × 1/x² = 196

x⁴ + 1/x⁴ + 2 = 196

x⁴ + 1/x⁴ = 196 - 2

x⁴ + 1/x⁴ = 194