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Math

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How do I find the x and y intercepts of (x^(2))y + x^(2) + 4y = 0



Would they both be (0,0) ??

  • Math - ,

    Let Y = 0:
    x^2*0 + x^2 + 4*0 = 0.
    0 + x^2 + 0 = 0
    x^2 = 0
    X = 0 = X-intercept.

    Let x = 0:
    0^2*y + 0^2 + 4y = 0
    0 + 0 + 4y = 0
    4y = 0
    Y = 0. = Y-intercept.

    Yes, both are zero. Very unusual.

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