SOLUTION: find the sum of the solutions to the equation x^3-8/2-x=-7 link to question below ; http://prntscr.com/9iti0z thanks

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Question 1011574: find the sum of the solutions to the equation x^3-8/2-x=-7
link to question below ;

http://prntscr.com/9iti0z
thanks
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x^3-8=-14 +7x
x^3-7x+6=0
with synthetic division, using
1/1;;0;;-7;;6
the roots are (x-1)(x2+x-6)
the second factors
(x-1)(x+3)(x-2)
Three possible roots, 1,2, and -3. These are roots of the changed equation, not the original one, where 2 cannot be a solution.
The sum of the solutions is 1-3=-2
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E3-7x%2B6%29