SOLUTION: Find x-intercepts of the graph of the equation y=x^2-3x+2

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Question 885061: Find x-intercepts of the graph of the equation
y=x^2-3x+2

Answer by algebrapro18(249) About Me  (Show Source):
You can put this solution on YOUR website!
To find the x-intercepts of a graph you need to set the equation of the graph equal to 0 and solve. NOTE: While there are two ways to solve this equation I would suggest solving by factoring as its much quicker than the quadratic formula. To factor x%5E2-3X%2B2 we need to find two factors of 2 that multiply to 2 and add to -3. Well the factors of 2 are 1 and 2 so the only way these add to -3 is if they are both negative. After we have the equation factored we can set each factor equal to 0 and solve for x. Doing so we get:
x%5E2-3x%2B2 = 0
%28x-1%29%28x-2%29 = 0
x-1+=+0 or x-2=0
x = 1 or x = 2
So the x-intercepts of the graph are at x = 1 and x = 2.