SOLUTION: find the x-intercepts for the graph of the following equations without graphing. y= 2x*2 -5x +2

Algebra ->  Graphs -> SOLUTION: find the x-intercepts for the graph of the following equations without graphing. y= 2x*2 -5x +2      Log On


   

Question 188022: find the x-intercepts for the graph of the following equations without graphing. y= 2x*2 -5x +2
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the x-intercepts:
y+=+2x%5E2-5x%2B2 Set y = 0 and solve for x.
2x%5E2-5x%2B2+=+0 Factor the trinomial.
%282x-1%29%28x-2%29+=+0 Apply the zero product rule:
2x-1+=+0 or x-2+=+0
2x-1+=+0 Add 1 to both sides.
2x+=+1 Divide both sides by 2.
highlight%28x+=+1%2F2%29 or...
x-2+=+0 Add 2 to both sides.
highlight%28x+=+2%29
The x-intercepts are: (1/2, 0) and (2, 0)
graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C2x%5E2-5x%2B2%29