SOLUTION: Solve: x^3-125=0

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Question 35703: Solve: x^3-125=0
Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!

Factor as the difference of two cubes:

or
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -75 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -75 is + or - .

The solution is , or
Here's your graph:



The final answer is ,

R^2 at SCC


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