Question 762469

{{{6x^2 + 9 = -4x}}}

{{{6x^2 +4x+ 9 = 0}}}


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

{{{x = (-4 +- sqrt( 4^2-4*6*9 ))/(2*6) }}}

{{{x = (-4 +- sqrt( 16-216))/12 }}}

{{{x = (-4 +- sqrt( -200))/12 }}}

{{{x = (-4 +- sqrt( -2*100))/12 }}}


{{{x = (-4 +- 10sqrt(2)*i)/12 }}}

solutions:

{{{x = (-4 + 10sqrt(2)*i)/12 }}}


{{{x = -4/12 + 10sqrt(2)*i/12 }}}


{{{x = -1/3 + 5sqrt(2)i/6 }}}

or


{{{x = (-4 - 10sqrt(2)*i)/12 }}}


{{{x = -4/12 - 10sqrt(2)*i/12 }}}


{{{x = -1/3 - 5sqrt(2)i/6 }}}