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

Question

mathteacher1729 · Answer

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?

uri · Answer

from quadratic equation?

mathteacher1729 · Answer

First step is to move all the variables to one side of the equal sign.

uri · Answer

ikr?

mathteacher1729 · Answer

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)

uri · Answer

Thankss :D