SOLUTION: Solve equation in real number system. List real solution(s) x=. must show all work. x^4+6x^3+4x^2-3x+10=0 im seriously confused.

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Question 964431: Solve equation in real number system. List real solution(s) x=. must show all work.
x^4+6x^3+4x^2-3x+10=0
im seriously confused.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Start off by graphing the function,
graph%28300%2C300%2C-8%2C8%2C-8%2C8%2Cx%5E4%2B6x%5E3%2B4x%5E2-3x%2B10%29
Looks like you might have two zeros at x=-2 and x=-5.
Verify by plugging in the value,
%28-2%29%5E4%2B6%2A%28-2%29%5E3%2B4%2A%28-2%29%5E2-3%28-2%29%2B10=0
16-48%2B16-6%2B10=0
42-42=0
0=0
True, so it's a good solution.
%28-5%29%5E4%2B6%2A%28-5%29%5E3%2B4%2A%28-5%29%5E2-3%28-5%29%2B10=0
625-750%2B100%2B15%2B10=0
750-750=0
0=0
True, so it's a good solution.
The other two solutions are complex.