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Mathematics 16 Online
OpenStudy (anonymous):

Can someone please give me an example of a sum of cubes equation...Please

OpenStudy (mathstudent55):

Can you do complex (imaginary) solutions, or only real solutions?

OpenStudy (anonymous):

I just need an example worked out all the way.

OpenStudy (mathstudent55):

x^3 + 27 = 0

OpenStudy (mathstudent55):

Notice that 27 = 3^3, so this is the sum of the cube of x and the cube of 3. x^3 + 3^3 = 0 The first step is to factor it.

OpenStudy (mathstudent55):

(x + 3)(x^2 - 3x + 9) = 0

OpenStudy (anonymous):

Thanks bro

OpenStudy (mathstudent55):

Now to solve the equation, do x + 3 = 0 or x^2 - 3x + 9 = 0 The left side is x = -3. For the right side, use the quadratic formula.

OpenStudy (mathstudent55):

wlcm

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