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Check whether the following is quadratic equation or not. x – 3/x = x^2

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Question

Check whether the following is quadratic equation or not.

`x - 3/x = x^2`

Sum
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Solution

Here it has been given that,

`x-3/x=x^2`

Now, solving the above equation further we get,

`(x^2-3)/x=x^2`

x2 - 3 = x3

-x3 + x2 - 3 = 0

Now, the above equation clearly does not represent a quadratic equation of the form ax2 + bx + c = 0, because -x3 + x2 - 3 = 0 is a polynomial of degree 3.

Hence, the above equation is not a quadratic equation.

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Chapter 4: Quadratic Equations - EXERCISE 4.1 [Page 4.4]

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R.D. Sharma Mathematics [English] Class 10
Chapter 4 Quadratic Equations
EXERCISE 4.1 | Q 1. (iv) | Page 4.4
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