Question

Check whether the following is quadratic equation or not.

`x+1/x=x^2`, x ≠ 0

Answer 1

Here it has been given that,

`x+1/x=x^2`

Now, solving the above equation further we get,

`(x^2+1)/x=x^2`

x² + 1 = x³

-x³ + x² + 1 = 0

Now as we can see, the above equation clearly does not represent a quadratic equation of the form ax² + bx + c = 0, because -x³ + x² + 1 is a polynomial having a degree of 3 which is never present in a quadratic polynomial.

Hence, the above equation is not a quadratic equation.