Question

If x² + 1/x² =47 , find the value of x + 1/x

Answer 1

hello users ......
we have given that
x² + 1/x² =47
we have to find
x + 1/x = ?

solution:-
we know that
x² +y² = (x+y)² -2xy

here
x² + 1/x² =47
=> 47 = (x + 1/x)² - 2 ×x×1/x
=> 47 +2 = (x+1/x) ²
=> 49 = (x + 1/x)²
=> x + 1/x = 7 answer

⭐⭐ hope it helps ⭐⭐

Answer 2

Answer:

x² + 1/x² =47

=> 47 = (x + 1/x)² - 2 ×x×1/x

=> 47 +2 = (x+1/x) ²

=> 49 = (x + 1/x)²

=> x + 1/x = 7

ans: 7