SOLUTION: 10x ^5+39 x^4+16x^3-82x^2-72x+8 What is the solution set?

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Question 871911: 10x ^5+39 x^4+16x^3-82x^2-72x+8
What is the solution set?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I assume you mean
10x+%5E5%2B39+x%5E4%2B16x%5E3-82x%5E2-72x%2B8=0
You can factor to,
%28x%2B2%29%5E2%2810x-1%29%28x%5E2-2%29=0
Four solutions
x%2B2=0
x=-2
and
10x-1=0
10x=1
x=1%2F10
and
x%5E2-2=0
x%5E2=2
x=0+%2B-+sqrt%282%29
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graph%28300%2C300%2C-3%2C3%2C-30%2C30%2C%28x%2B2%29%5E2%2810x-1%29%28x%5E2-2%29%29