Question

if x+1/x=9, then find the value of x-1/x 13and x^2+1/x^2​

Answer 1

x-1/x=9 (x-1/x)²=9² x²+1/x²-2=81 x²+1/x²=83 (x+1/x)²=x²+1/x²+2 (x+1/x)²=83+2 =85 √(x+1/x)²=√85 x+1/x=√85

Answer 2

x+1

___ = 9

x

1 + 1

__ = 9

x

1/x = 8

therefore, x= 1/8

Now, substitute the value in the given algebraic expression.

Kindly mention the sign if it's x-13 or x+13 or x-1/x = 13 (and needs to be verified)