SOLUTION: How many roots does this equation have? x^2-6x+9=0

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Question 542210: How many roots does this equation have? x^2-6x+9=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To find the number of solutions, first compute the discriminant.


From x%5E2-6x%2B9 we can see that a=1, b=-6, and c=9


D=b%5E2-4ac Start with the discriminant formula.


D=%28-6%29%5E2-4%281%29%289%29 Plug in a=1, b=-6, and c=9


D=36-4%281%29%289%29 Square -6 to get 36


D=36-36 Multiply 4%281%29%289%29 to get %284%29%289%29=36


D=0 Subtract 36 from 36 to get 0


So the discriminant is D=0


Since the discriminant is equal to zero, this means that there is one real solution.


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