Question

if (x-1/x)=4,find the value of (x⁴+1/x⁴)​

Answer 1

(x⁴+1/x⁴) = 322

Step-by-step explanation:

(x-1/x)=4

Squaring both sides

${x}^{2} + \frac{1}{ {x}^{2} } - 2 = 16$

${x}^{2} + \frac{1}{ {x}^{2} } = 18$

squaring again

${x}^{4} + \frac{1}{ {x}^{4} } + 2 = 324$

${x}^{4} + \frac{1}{ {x}^{4} } = 322$

Answer 2

Answer:

HEY BRO

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 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