SOLUTION: Solve the following quadratic equation using any method: x^2 - 8x + 16 = 0/

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Question 114161: Solve the following quadratic equation using any method: x^2 - 8x + 16 = 0/
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-8x%2B16=0 Start with the given equation

%28x-4%29%28x-4%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:

x-4=0 or x-4=0

x=4 or x=4 Now solve for x in each case


Since these two answers are the same, our only solution is x=4


Notice if we graph y=x%5E2-8x%2B16 we get

+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C+x%5E2-8x%2B16%29+

and we can see that the graph has a root at x=4, so this verifies our answer.