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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.
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