Question

If x 4 + 1/x 4 = 47, then find the value of root x + 1/root x​

Answer 1

Answer:

x⁴+1/x⁴= 47

(x²+1/x²)²-2= 47

(x²+1/x²)²= 49

(x²+1/x²)= √49

x²+1/x²= 7

( x+1/x)²-2= 7

( x+1/x)²= 9

x+1/x= √9

x+1/x= 3

(√x+1/√x)²-2=3

, (√x+1/√x)²= 5

so,. √x+1/√x= √5