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Math Help - Find normal and where it intersects

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    Find normal and where it intersects

    The line that is normal to the curve x^2+xy-2y^2=0 at (5,5) intersects the curve at what other point?
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    Quote Originally Posted by smartartbug View Post
    The line that is normal to the curve x^2+xy-2y^2=0 at (5,5) intersects the curve at what other point?
    The equation of the normal is y - 5 = m(x - 5) where m is the value of dy/dx at (5, 5). Find m. Then solve simultaneously:

    x^2 + xy - 2y^2 = 0 .... (1)

    y - 5 = m(x - 5) .... (2)

    If you need more help, please show all your working and say where you get stuck.
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