Question

Please explain step by step... Thank u... ​

Answer 1

Answer:

x²+1/x² = 51

Explanation:

Given x - 1/x = 7 ...........(1)
______________________

We know the algebraic identity:
a²+b²-2ab = (a-b)²
Or
a²+b² = (a-b)²+2ab
______________________

Now,
x²+1/x²
= (x-1/x)²+2*x*(1/x)
= (x-1/x)²+2
= 7²+2 [ from (1)]
= 49+2
= 51

Therefore,

x²+1/x² = 51
_________

Hope it would help you;
Have a nice day!
:D

Answer 2

Answer:

→ 51

$.$

see the attachment for the solution.

Step-by-step explanation:

formula used

(a - b)² = a² + b² -2ab.