Question

if x+ 1/x =6 find x⁴+1/x⁴​

Answer 1

Answer:

Given that ;

x + 1 / x = 6

Solving :

x + 1 / x = 6

x + 1 = 6x

1 = 6x - x

1 = 5x

Then ;

x = 1 / 5

Given Question :

x⁴ + 1 / x⁴

Substitute x value in the Equation :

x = 1 / 5

( 1 / 5 )⁴ + 1 / ( 1 / 5 )⁴

0.00032 + 1 / 0.00032

3125.00032

Answer 2

Answer:

Step-by-step explanation:

Given that,,

x + 1/x = 6

Squaring on both sides, we get

( x + 1/x )² = ( 6 )²

x² + 1/x² + 2 × x × 1/x = 36

x² + 1/x² + 2 = 36

x² + 1/x² = 36 - 2

x² + 1/x² = 34

Again squaring on both sides, we get

( x² + 1/x² )² = ( 34 )²

( x² )² + ( 1/x² )² + 2 × x² × 1/x² = 1156

x⁴ + 1/x⁴ + 2 = 1156

x⁴ + 1/x⁴ = 1156 - 2

x⁴ + 1/x⁴ = 1154 is the answer.