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Check Whether the Following is Quadratic Equation Or Not. `X^2+1/X^2=5` - Mathematics

Check whether the following is quadratic equation or not.

`x^2+1/x^2=5`

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Solution

Here it has been given that,

`x^2+1/x^2=5`

Now, solving the above equation further we get,

`(x^2+1)/x^2=5`

⇒ x5x2

⇒ x− 5x2 0

Now, the above equation clearly does not represent a quadratic equation of the form ax2 + bx + c = 0, because x− 5x2 0 is a polynomial of degree 4.

Hence, the above equation is not a quadratic equation.

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 4 Quadratic Equations
Exercise 4.1 | Q 1.03 | Page 4
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