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Find the point(s) of intersection of the parabola with equation y = x2 - 5x + 4 and the line with equation y = 2x - 2
Note how both of these are equal to "y" y = x^2 - 5x + 4 y = 2x - 2 or x^2 - 5x + 4 = y = 2x - 2 now just "take out the middle man" (the y) and solve x^2 - 5x + 4 = 2x - 2 Can you do this?
First step is to move all the variables to one side of the equal sign.
x^2 - 5x + 4 = 2x - 2 add 2 to both sides x^2 - 5x + 6 = 2x subtract 2x from both sides x^2 - 7x + 6 = 0 See if you can factor the left side (if not, use quadratic formula)