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    I have no idea about how to approach this question:

    Sketch th curve (y^2 - 2)^2 + (x^2 - 2)^2 = 2 what would it look like?
    Thanks
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    (Original post by Mundu348)
    I have no idea about how to approach this question:

    Sketch th curve (y^2 - 2)^2 + (x^2 - 2)^2 = 2 what would it look like?
    Thanks
    What does the graph of (y-2)^2+(x-2)^2=2 look like? Now, if you replace y with y^2, what effect does this have on the graph? Then do the same for x^2, what effect does this have? Think about particular intervals which will be effected by this.
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    I just checked this curve using wolfram alpha, and im going to be honest, it is very very weird. But like farhan says, just think about the equation for a circle, then think about what happens if you use x^2s and y^2s instead.
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    (Original post by Mundu348)
    I have no idea about how to approach this question:

    Sketch th curve (y^2 - 2)^2 + (x^2 - 2)^2 = 2 what would it look like?
    Thanks
    I think I may have been a bit vague as I don't think that you will get anywhere with that hint unless you got the idea yourself.
    Note that (y-2)^2+(x-2)^2=2 \implies y = 2\pm\sqrt{2-(x-2)^2}.
    Find the values of x for which y is less than 1. Then think about what would happen if you squared a number which is less than 1. What would happen to the values of y which are greater than 1 if you squared them? Don't forget to reflect the function in the x-axis.
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    Actually,the graph is weird,but i think we can do that .First the graph is symmetric,so we only need to draw one part of that.
    first factorising,y^4-4y^2+4+x^4-4x^2+4=2, y^4-4y^2+3+x^4-4x^2+3=0 ,(y^2-1)(y^2-3)+(x^2-1)(x^2-3)=0,it is obvious that when y=+-1 y=+-root 3 x=+-1 x=+-root 3,it is true .so we plot these point ,and draw a curve which is through these points.the graph is completed.
 
 
 
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