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Mathsorcerer
Lv 7
Mathsorcerer asked in Science & MathematicsMathematics · 1 decade ago

Graph This Equation: 4h^2 - sqrt(5)*h + 4hk + k^2 + (2sqrt(5))*k = 0?

Recently, Anil Bakshi wondered why more advanced questions in analytic geometry weren't being asked here...so I am asking one.

Oh...don't try plugging this in to Wolfram Alpha. I already tried and it didn't recognize the full equation; it kept wanting to give me only parabolas in terms of k or, when I rephrased the problem, a plane.

This isn't even the most challenging one I came up with over the weekend.

Update:

Yes, you can change the variables to x and y, if you like. The question remains, though--what is this graph? The square variables identify it as a conic, to be certain, but what kind?

1 Answer

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  • ?
    Lv 4
    1 decade ago
    Favorite Answer

    Try entering it as: plot 4x^2 - √(5)*x + 4xy + y^2 + 2√(5)*y = 0

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