Question

if x²+1/x²=51 find the value of x-1/x

Answer 1

x² + 1/x² = 51
(x - 1/x)² + 2 = 51
(x - 1/x)² = 49
x - 1/x = √49 = 7

Answer 2

Answer:

x²+1/x²=51

(x+1/x)²=x²+1/x²-2×x×1/x

(x-1/x)²=51 - 2

(x-1/x)=49's square

(x-1/x)=7