Question

If x +1/x =
9



find the value of x⁴
+1/x⁴

​

Answer 1

Step-by-step explanation:

it is the correct answer

Answer 2

Step-by-step explanation:

squaring on both sides

(x + 1/ x )2. =( 9)2

x^2 + 1/x^2 +2× x ×1/x = 81

x^2 + 1/x^2+2 = 81

x^2 + 1/x^2 = 81 -2

x^2 + 1/ x^2 = 79

Again squaring on both sides

(x^2 + 1/ x^2 )2= (79)2

x^4 + 1/ x^4 +2× x^2 × 1/ x^2 = 6241

x^4 +1/ x^4 = 6241 - 2

x^4 + 1/ x^4 =6239

Therefore

x^4 +1/x^4 = 6239