Question

if x²+1/x²= 51 find the value of x

Answer 1

Here it is, the value of x

Answer 2

Answer:

7+√53

______

2

Step-by-step explanation:

x²+1/x² = (x-1/x)²+2

51-2 = (x-1/x)²

49 = (x-1/x)²

by rooting on both sides

7 = x-1/x _ _ _ _ i

x²+1/x² = (x-1/x)²-2

51+2 = (x+1/x)²

53= (x+1/x)²

by rooting on both sides

√53 = x+1/x _ _ _ _ ii

i + ii

x-1/x + x+1/x = 7+√53

2x = 7+√53

x = 7+√53

_____

2