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johnnyalln

  • 2 years ago

Determine the type of conic without graphing. y+xy-y^2-x^2=5x+x^2-y^2

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  1. johnnyalln
    • 2 years ago
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    @satellite73

  2. mukushla
    • 2 years ago
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    The general form of the conic section equation is: \[Ax^2+Bxy+Cy^2+Dx+Ey+F=0\] where not both A and C are zero.

  3. mukushla
    • 2 years ago
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    if \(B^2-4AC<0\) , an ellipse is defined if \(B^2-4AC>0\), a hyperbola is defined if \(B^2-4AC=0\), then the conic is a parabola

  4. mukushla
    • 2 years ago
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    now check and see what u have here?

  5. johnnyalln
    • 2 years ago
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    hyperbola?

  6. satellite73
    • 2 years ago
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    add \(y^2\) to both sides and it disappears

  7. satellite73
    • 2 years ago
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    yes, it is a hyperbola

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