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Check Whether the Following is Quadratic Equation Or Not. `X+1/X=X^2`, X ≠ 0 - Mathematics

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Question

Check whether the following is quadratic equation or not.

`x+1/x=x^2`, x ≠ 0

Solution

Here it has been given that,

`x+1/x=x^2`

Now, solving the above equation further we get,

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

x2 + 1 = x3

-x3 + x2 + 1 = 0

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

Hence, the above equation is not a quadratic equation.

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 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.1 | Q: 1.12 | Page no. 4
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.1 | Q: 1.12 | Page no. 4
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Solution Check Whether the Following is Quadratic Equation Or Not. `X+1/X=X^2`, X ≠ 0 Concept: Quadratic Equations.
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