Question

Check whether the following is quadratic equation or not.

`x^2+1/x^2=5`

Answer 1

Here it has been given that,

`x^2+1/x^2=5`

Now, solving the above equation further we get,

`(x^2+1)/x^2=5`

⇒ x⁴ + 1 = 5x²

⇒ x⁴ − 5x² + 1 = 0

Now, the above equation clearly does not represent a quadratic equation of the form ax² + bx + c = 0, because x⁴ − 5x² + 1 = 0 is a polynomial of degree 4.

Hence, the above equation is not a quadratic equation.