Question

Find the point(s) of intersection of the parabola with equation y = x2 - 5x + 4 and the line with equation y = 2x - 2


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Answer 1

2x - 2 = x2 - 5x + 4 : substitute y by 2x - 2

x = 1 and x = 6 : solution of quadratic equation

(1 , 0) and (6 , 10) : points of intersection