SOLUTION: Write the equation x(x - 10) + 9 = 0 in quadratic form and then solve it by factoring

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Question 113950: Write the equation x(x - 10) + 9 = 0 in quadratic form and then solve it by factoring
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%28x+-+10%29+%2B+9+=+0 Start with the given equation


x%5E2+-+10x+%2B+9+=+0 Distribute


%28x-9%29%28x-1%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-9=0 or x-1=0

x=9 or x=1 Now solve for x in each case


So our solutions are x=9 or x=1


Notice if we graph y=x%5E2-10x%2B9 we get

+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C+x%5E2-10x%2B9%29+

and we can see that the graph has roots at x=9 and x=1, so this verifies our answer.