SOLUTION: i need help solving the equation graphically and then checking the results algebraially {{{x^2-3x=10}}}

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Question 775107: i need help solving the equation graphically and then checking the results algebraially x%5E2-3x=10
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
Thanks for posting the problem correctly!
x%5E2-3x=10
x%5E2-3x=10 first subtract 10 from each side of the equal sign
x%5E2-3x-10=0 next pretend instead of 0 on the right side you have y
x%5E2-3x-10=y plug in a few values for x (any values) and evaluate, this will give you the matching y's. Here's the table
x | y
________
0 | -10
-2| 0
5 | 0
feel free to do more points, you need quite a few to graph a quadratic but you get the point.
Now plot these points
+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2-3x-10%29+
As you can see from the graph it crosses x axis at 5 and -2
Now to check the results plug in the solution one at a time
check for x=5
x%5E2-3x=10
5%5E2-3%2A5=10
25-15=10
10=10 left side equals right side so x=5 is a solution
check for x=-2
%28-2%29%5E2-3%28-2%29=10
4%2B6=10
10=10 left side equals right side so x=-2 is a solution