SOLUTION: If seven times a number is added to the squares of the number and the result is negative, what are the numbers?

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Question 1041861: If seven times a number is added to the squares of the number and the result is negative, what are the numbers?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the number is x and as I understand the question, 7x is added to the number, x, squared. The result is negative.
7x+x^2<0; x(7+x)<0. x=-7, and x=0 are the points where the function equals 0.
This quadratic equation is x^2+7x+0, and where that is less than 0 are possible numbers
any number in the interval (-7,0) will suffice, if the question is interpreted properly.
-5: -5(7)=-35 and (-5)^2=25. That sum is negative.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2%2B7x%29