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19 June, 23:02

Does the equation x2 - 4x + y2 = - 3 intersect the y-axis?

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  1. 19 June, 23:45
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    No. The y-intercept is the value of y when x=0, hence it intersects the y-axis when x=0. In this case:

    0^2-4 (0) + y^2=-3

    y^2=-3

    y=√-3

    Since there is no real square root of a negative value, the curve does not intersect the y-axis
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