SOLUTION: Hello out there. Can someone help me and my son solve this equation? They are asking for the "real solutions" to {{{x^3-13x=12}}}. Please and much thanks. It's been a long

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello out there. Can someone help me and my son solve this equation? They are asking for the "real solutions" to {{{x^3-13x=12}}}. Please and much thanks. It's been a long       Log On


   



Question 119560: Hello out there.
Can someone help me and my son solve this equation? They are asking for the "real solutions" to x%5E3-13x=12.
Please and much thanks. It's been a long time since I had to remember this stuff :-)

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
subtracting 12 gives x^3-13x-12=0 __ substituting -1 for x satisfies the equation, so x+1 is a factor

dividing x^3-13x-12 by x+1 gives x^2-x-12, which factors into (x-4) and (x+3)

so x^3-13x-12=0 factors into (x+1)(x+3)(x-4)=0

setting each of the factors equal to zero, gives the "real" values of x __ -1, -3, 4