SOLUTION: Find an approximation for the larger zero of {{{y=x^2-4.25x+4.25}}}

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Question 140632: Find an approximation for the larger zero of y=x%5E2-4.25x%2B4.25
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Notice if we make a table of x and y values for x%5E2-4.25x%2B4.25, we get 


       x          y
    1.50000    0.12500
    1.60000    0.01000
    1.70000   -0.08500
    1.80000   -0.16000
    1.90000   -0.21500
    2.00000   -0.25000
    2.10000   -0.26500
    2.20000   -0.26000
    2.30000   -0.23500
    2.40000   -0.19000
    2.50000   -0.12500
    2.60000   -0.04000
    2.70000    0.06500
    2.80000    0.19000
    2.90000    0.33500
    3.00000    0.50000



So we can see that a good approximation for the larger zero appears to be in between 2.6 and 2.7 (notice how y changes from negative to positive)

So a good approximation would be x=2.65