SOLUTION: Graph the two equations {{{y=x^2+2x+1}}} and {{{y=x+3}}} and find the solutions

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Question 138686: Graph the two equations y=x%5E2%2B2x%2B1 and y=x%2B3 and find the solutions
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First graph y=x%5E2%2B2x%2B1

+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2B2x%2B1++%29+ Graph of y=x%5E2%2B2x%2B1



Now graph y=x%2B3

+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%2B3++%29+ Graph of y=x%2B3


Now graph the two equations together

+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2B2x%2B1%2Cx%2B3++%29+ Graph of y=x%5E2%2B2x%2B1 (red. Graph of y=x%2B3(green)


From the graph, we can see that the two equations intersect at the points (-2,1) and (1,4)


So this means that the solutions are
x=-2 and y=1

OR

x=1 and y=4