Question 924271
{{{(x+1)^2= -8}}}

{{{x^2+2x+1= -8}}}

{{{x^2+2x+1+8= 0}}}

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

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

{{{x = (-2 +- sqrt( 2^2-4*1*9 ))/(2*1) }}} 

{{{x = (-2 +- sqrt( 4-36 ))/2 }}} 

{{{x = (-2 +- sqrt( -32 ))/2 }}}

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

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

{{{x = (-2 +- 2*2*isqrt(2 ))/2 }}}

{{{x = -2/2 +- (cross(2)*2*i*sqrt(2 ))/cross(2) }}}

{{{x = -1 +- 2*i*sqrt(2 ) }}}

roots:

{{{x = -1 + 2*i*sqrt(2 ) }}}

or

{{{x = -1 - 2*i*sqrt(2 ) }}}


{{{ graph( 600, 600, -5, 5, -5, 15, x^2+2x+9) }}}