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Which of the Following Are Quadratic Equation in X? `X^2-1/X^2=5` - Mathematics

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Question

Which of the following are quadratic equation in x? 

`x^2-1/x^2=5` 

 

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Solution

`x^2-1/x^2=5x^2` 

`⇒x^4-1=5x^2` 

`⇒x^4-5x^2-1=0` 

`(x^4-5x^2-1)`is a polynomial with degree 4. 

∴` x^2-5x^2-1=0` is not a quadratic equation

 

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Chapter 10: Quadratic Equations - Exercises 1

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 10 Quadratic Equations
Exercises 1 | Q 1.08
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