Question

Decide whether the following equation is quadratic equation or not.

\[x + \frac{1}{x} = - 2\] 

Answer 1

\[x + \frac{1}{x} = - 2\] 

Multiplying x by each term

`x xx x + x xx 1/x = x xx (-2)`

⇒x² + 1 = -2x 

x² + 2x + 1 = 0

Only one variable x.
Maximum index = 2
So, it is a quadratic equation.