Question

If x²+1/x²=11, find the value of x⁴+1/x⁴​

Answer 1

Answer:

x²+1/x²=11

than , x²+1 =11x²

1= 11x²-x²

1= 10x²

1/x²= 10

therefore = x= 1/√10

putting the value of 1/√10 in given equation

therefore = x⁴+1/x⁴

(1/√10)⁴ + (1/1/√10)⁴

1/100+100

1+/100+100/1

1+10000/100

10,001/100

therefore value is = 100.01

hope this is helpful

Answer 2

Step-by-step explanation:

x^2+1=11x^2

1=11x^2-x^2

1=10x^2

1/10=x^2

x=1/✓10

substitute x=1/✓10

(1/✓10)^4+1/(1/✓10)

(1/✓10)^4/(1/✓10)+1

(1/✓10)^3+1

1/100+1