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    Find the equation of the tangents to the curve y=(2#x-1)(#x-1)
    # means square root btw.

    at the points were the curve cuts the x-axis (y=0)

    Find the co-ordinates of the points of intersection of these tangents.

    okay, first find the x values. so you have 2#x = 1 and #x = 1. so x = 1 and (1/#2) .

    then find dy/dx, substitute these x values in to find the gradient. then do the usual y=mx + c by putting in the x and y to find c so you then have the eqn's of the two tangents.
    then when you've done that, make them equal to each other to find the x value of where they intersect, sub it into one of the tangent eqn's to find y. and you're done.
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Updated: January 24, 2010

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