anonymous
  • anonymous
Can someone please give me an example of a sum of cubes equation...Please
Mathematics
schrodinger
  • schrodinger
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mathstudent55
  • mathstudent55
Can you do complex (imaginary) solutions, or only real solutions?
anonymous
  • anonymous
I just need an example worked out all the way.
mathstudent55
  • mathstudent55
x^3 + 27 = 0

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mathstudent55
  • 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.
mathstudent55
  • mathstudent55
(x + 3)(x^2 - 3x + 9) = 0
anonymous
  • anonymous
Thanks bro
mathstudent55
  • 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.
mathstudent55
  • mathstudent55
wlcm

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