Question 903858



{{{x^3 + 6x^2 + 10x = 0}}} ...factor out {{{x}}} 

{{{x(x^2 + 6x + 10) = 0}}}

one solution is {{{highlight(x=0)}}}

the other two you will find if you use quadratic formula to solve {{{(x^2 + 6x + 10) = 0}}}

 {{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 

 {{{x = (-6 +- sqrt( 6^2-4*1*10 ))/(2*1) }}} 

{{{x = (-6 +- sqrt( 36-40))/2 }}} 

{{{x = (-6 +- sqrt( -4))/2 }}} 

{{{x = (-6 +- 2i)/2 }}} 

{{{x = (-cross(6)3 +- cross(2)i)/cross(2) }}}

 {{{x = -3 +- i }}} 

second solution:

{{{highlight(x = -3 + i) }}} 

third solution:

{{{highlight(x = -3 - i) }}} 

{{{ graph( 600, 600, -10, 10, -10, 10, x^3 + 6x^2 + 10x) }}}