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14 January, 05:41

Does the equation x^2-6x+y^2-6y = - 9 intersects the y-axis

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  1. 14 January, 05:57
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    Intersecting the y axis means x is o, so you plug x=0 in the equation and solve for y. if y has real solutions, then the answer is yes.

    Let's find out:

    0+y^2-6y=-9

    y^2-6y+9=0

    (y-3) (y-3) = 0

    y=3

    3 is a real number, so yes, the equation intersects the y axis at (0,3)
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