Question 650800
<pre>
x³ + 125 = 0
 x³ + 5³ = 0
(x + 5)(x² - 5x + 25) = 0

x + 5 = 0;  x² - 5x + 25 = 0
    x = -5;            x = {{{(-(-5) +- sqrt((-5)^2-4*(1)*(25) ))/(2*(1)) }}}
                       x = {{{(5 +- sqrt(25-100 ))/2 }}}
                       x = {{{(5 +- sqrt(-75))/2 }}}
                       x = {{{(5 +- i*sqrt(75))/2 }}}
                       x = {{{(5 +- i*sqrt(25*3))/2 }}}
                       x = {{{(5 +- 5i*sqrt(3))/2 }}}
                       x = {{{(5(1 +- i*sqrt(3)))/2 }}}

Three solutions: -5, {{{(5(1 + i*sqrt(3)))/2 }}}, {{{(5(1 - i*sqrt(3)))/2 }}} 

Edwin</pre>