Trace the curve: y^2(x^2-4)=x^4

Discussion Response Post to: Trace the curve: y^2(x^2-4)=x^4

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Blazing goIITian

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y²(x² - 4) = x⁴

or, y² = x⁴ / (x² - 4)

or, y = + x² / (x² - 4)1/2

So, for the function to be defined, x² - 4 > 0

or, x² >4

or, x>2 and x<-2

Also,

So, you can check in which interval the function increases and decreases.

The graph would be this:

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