Question 1140800


{{{(x-3)^2-32=0 }}}

{{{x^2-6x+9-32=0 }}}

{{{x^2-6x-23=0 }}}

use quadratic formula:

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


{{{x = (-(-6) +- sqrt( (-6)^2-4*1*(-23) ))/(2*1) }}} 

{{{x = (6 +- sqrt(36+92 ))/2 }}} 

{{{x = (6 +- sqrt(128 ))/2 }}} 

{{{x = (6 +- sqrt(2*64 ))/2 }}} 

{{{x = (6 +- 8sqrt(2 ))/2 }}} 

{{{x = (cross(6)3 +- cross(8)4sqrt(2 ))/cross(2) }}} 

{{{x = (3 +- 4sqrt(2 )) }}} 


solutions:

{{{x = 3 + 4sqrt(2 ) }}} 

{{{x = 3 - 4sqrt(2 ) }}}