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Hi Hannibal lecter,
As you know two points you can get the equation of the straight line in the form y = mx + d. Substitute that value of y into y = x squared to get a quadratic in x. It should be easy to factorise as you know (x-1) is one factor. The other will give the x coordinate of C.
Bob
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
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