Question

if x+1/x=5,find the value of x^4+1/x^4

Guys please answer​

Answer 1

Answer:

$x + \frac{1}{x} = 5$

$squaring \: both \: side$

$(x + \frac{1}{x} ) {}^{2} = 5 {}^{2}$

$x {}^{2} + (\frac{1}{x} ) {}^{2} + 2 = 25$

$x {}^{2} + \frac{1}{x {}^{2} } = 23$

Now,

$(x {}^{2} + \frac{1}{x {}^{2} } ) {}^{2} = 23 {}^{2}$

$x {}^{4} + \frac{1}{x {}^{4} } + 2 = 529$

$x {}^{4} + \frac{1}{x {}^{4} } = 527$

Answer 2

Answer:

x + 1/x = 5

Squaring both side

(x + 1/x)² = (5)²

x² + (1/x)² + 2 = 25

x² + (1/x)² = 23

Now,

(x² + 1/x²)² = 23²

x⁴ + 1/x⁴ + 2 = 529

x⁴ + 1/x⁴ = 527

silentlover45.❤️