Question 454040


{{{2(x+2)^2=16}}}...simplify

{{{(2/2)(x+2)^2=16/2}}}

{{{(x+2)^2=8}}}

{{{x^2+4x+4=8}}}

{{{x^2+4x+4-8=0}}}

{{{x^2+4x-4=0}}}

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


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


{{{x = (-4 +- sqrt( 16+16 ))/2 }}}


{{{x = (-4 +- sqrt(32))/2 }}}


{{{x = (-4 +- 5.7)/2 }}}

solutions:

{{{x = (-4 + 5.7)/2 }}}

{{{x = (1.7)/2 }}}

{{{x = 0.85 }}}

or

{{{x = (-4 - 5.7)/2 }}}

{{{x = (-9.7)/2 }}}

{{{x = -4.85 }}}

{{{ graph( 500, 500, -10, 10, -10, 10, x^2+4x-4) }}}