Question

if x+1/x=5and find the value of x⁴+1/x⁴​

Answer 1

Answer:

5

Step-by-step explanation:

X + 1 / X = 5..........................(1)

X2 + 1 / X4

=X + 1 / X ............ ( X square = X, X4 = X)

= 5 ................... from (1)

thanks........

Answer 2

Answer:

$x + \frac{1}{x} = 5 \\ \\ = > (x + \frac{1}{x{}^{} } ) {}^{2} = 25 \\ \\ = > x {}^{2} + \frac{1}{x {}^{2} } + 2.x. \frac{1}{x} = 25 \\ \\ = > x {}^{2} { + \frac{1}{x {}^{2} } }^{} = 25 - 2 \\ \\ \: \: \: \: = 23 \\ \\ = >( x {}^{2} + \frac{1}{x {}^{2} } ) {}^{2} = 529 \\ \\ = > x {}^{4} + \frac{1}{x {}^{4} } + 2.x {}^{2} . \frac{1}{x {}^{2} } = 529 \\ \\ = > x {}^{4} + \frac{1}{x {}^{4} } = 529 - 2 \\ \\ \: \: \: \: = 527 \\ \\ \\ \\ formula \: \: - \: \: \: (x + y) {}^{2} = x {}^{2} + y {}^{2} + 2xy$