Question

x^4+1/x^4=198 then value of x^2-1/x^2​

Answer 1

Step-by-step explanation:

x⁴+1/x⁴ =198

subtract 2*x²*1/x² =2, from both sides

(x²)² + (1/x²)² -2*x²*1/x² =198-2=196=14²

this is in the form a2-2ab+b2 =(a-b)², a=x², b=1/x²

(x²-1/x²)² =14²

x²-1/x² =14