Question

Check whether the following is quadratic equation or not.

`(x + 1/x)^2 = 3(x + 1/x) + 4`

Answer 1

Here it has been given that,

`(x+1/x)^2=3(x+1/x)+4`

Now, solving the above equation further we get,

`((x^2+1)/x)^2=(3x^2+1+4x)/x`

Now as we can see, the above equation clearly does not represent a quadratic equation of the form ax² + bx + c = 0, because x⁴ - 3x³ - 2x² - x + 1 is a polynomial having a degree of 4 which is never present in a quadratic polynomial.

Hence, the above equation is not a quadratic equation.