#### Question

Check whether the following is quadratic equation or not.

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

#### Solution

Here it has been given that,

`(x+1/x)^2=3(1+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 ax^{2} + bx + c = 0, because x^{4} - 3x^{3} - 2x^{2} - 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.

Is there an error in this question or solution?

#### APPEARS IN

Solution Check Whether the Following is Quadratic Equation Or Not. `(X+1/X)^2=3(1+1/X)+4` Concept: Quadratic Equations.