Question

Find the coordinates of any points of intersection.
Given: f(x)=x^2-5x+2
g(x)=3-2x

Answer 1

First, set them equal to each other.
\[x^2 -5x + 2 = 3 - 2x\]
Then, get everything on one side to set it equal to zero.
\[x^2 - 3x - 1\]
Factor using the quadratic formula, you will get
x = \[(3 + \sqrt{13}) \div 2, (3 - \sqrt{13}) \div 2\]
Plug these x values into each equation to check (unfortunately, I don't have a good calculator on me right now, but the rest is just calculation. Plug in the x values to get the y values, and use them as your points.