Question 747851
{{{ 2(5x-3)^2+3=19}}}

{{{ 2(5x-3)^2=19-3}}}

{{{ 2(5x-3)^2=16}}}

{{{ (5x-3)^2=16/2}}}

{{{ (5x-3)^2=8}}}

{{{ 25x^2-30x+9=8}}}

{{{ 25x^2-30x+9-8=0}}}

{{{ 25x^2-30x+1=0}}}

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

{{{x = (-(-30) +- sqrt( (-30)^2-4*25*1 ))/(2*25) }}}

{{{x = (30 +- sqrt(900-100 ))/50 }}}


{{{x = (30 +- sqrt(800 ))/50 }}}

{{{x = (30 +- 28.28)/50 }}}

solutions:

{{{x = (30 +28.28)/50 }}}

{{{x =58.28/50 }}}

{{{x =1.1656 }}}


{{{x = (30 -28.28)/50 }}}

{{{x =1.72/50 }}}

{{{x =0.0344 }}}


{{{ graph( 600, 600, -2,2, -10, 5, 25x^2-30x+1) }}}