Question 924463
{{{(x-5)^2/3= 9}}}

{{{(x-5)^2= 9*3}}}

{{{x^2-10x+25= 27}}}

{{{x^2-10x+25- 27=0}}}

{{{x^2-10x- 2=0}}}


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


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

 {{{x = (10 +- sqrt( 100+8 ))/2 }}} 

{{{x = (10 +- sqrt( 108 ))/2 }}} 

{{{x = (10 +- sqrt( 4*27))/2 }}} 

{{{x = (10 +- 2sqrt( 3^2*3))/2 }}}

{{{x = (cross(10)5 +- cross(2)*3sqrt( 3))/cross(2) }}}

{{{x = 5 +- 3sqrt( 3) }}}

solutions:

{{{x = 5 + 3sqrt( 3) }}} (approximately {{{x=10.2}}})

{{{x = 5 - 3sqrt( 3) }}} (approximately {{{x=-0.2}}})

{{{ graph( 600, 600, -5, 15, -25, 25, x^2-10x- 2) }}}