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Check Whether the Following is Quadratic Equation Or Not. `(X+1/X)^2=3(1+1/X)+4` - CBSE Class 10 - Mathematics

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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 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.

  Is there an error in this question or solution?

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