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# Show that the x-coordinates of any points of intersection... watch

1. curve c = y=4-10x-x^2
line l = y=k(4x-13) where k is a constant.

Show that the x coordinates of any points of intersection of the curve c with the line l satisfy the equation:

x^2+2(2k+5)x-(13k+4)=0
2. (Original post by mattdeeee1)
curve c = y=4-10x-x^2
line l = y=k(4x-13) where k is a constant.

Show that the x coordinates of any points of intersection of the curve c with the line l satisfy the equation:

x^2+2(2k+5)x-(13k+4)=0
The points of intersection will occur when they're equal to each other.
3. equate the two equations

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