Question 100780
The given expresion is: 



{{{ (x-1)^2=7 }}} 


Expanding the left ahnd side we get: 


{{{ x^2 - 2x + 1 = 7 }}}


{{{x^2 - 2x + 1 - 7 = 0 }}} 


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



Using the formula we get:  


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


here a = 1 b = -2 and c = -6 


{{{x = (2 +- sqrt( 4 + 24 ))/(2) }}} 



{{{ x = (2 +- sqrt(28))/(2) }}}


Thus the solution