Question

x-1/x=5 find the value of x^4+1/x^4.​

Answer 1

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

square both sides

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

use

$(x - y) {}^{2}$

identity

${x}^{2} - \frac{1}{ {x}^{2}} = 25 - 2$

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

now square again

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

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

answer is

$527$

hope you like this

Answer 2

Answer:

727

Step-by-step explanation: x-1/x=5

(x-1/x)^2=5^2=25

x^2+1/x^2-2*1/x*x=25

x^2+1/x^2=25+2=27

(x^2+1/x^2)=27^2

x^4+1/x^4+2*1/x^2*x^2=729

x^4+1/x^4=729-2=727