Question 926519


1. 

{{{x^2-6x-10=0}}}

{{{(x^2-6x+___)-_____-10=0}}}

{{{(x^2-6x+_3^2_)-__3^2__-10=0}}}

{{{(x-3)^2-9-10=0}}}

{{{(x-3)^2-19=0}}}

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

{{{(x-3)=sqrt(19)}}}.....{{{sqrt(19)^2}}} is {{{sqrt(19)}}} or {{{-sqrt(19)}}}

solutions:

{{{(x-3)=sqrt(19)}}}

{{{x=3+sqrt(19)}}}

or

{{{(x-3)=-sqrt(19)}}}

{{{x=3-sqrt(19)}}}



2. 

{{{3x^2-6x-6=0}}}

{{{(3x^2-6x)-6=0}}}

{{{3(x^2-2x)-6=0}}}

{{{3(x^2-2x+1^2)-3*1^2-6=0}}}

{{{3(x-1)^2-3-6=0}}}

{{{3(x-1)^2-9 = 0}}}

{{{3(x-1)^2 = 9}}}

{{{(x-1)^2 = 9/3}}}

{{{(x-1)^2 = 3}}}

{{{(x-1) = sqrt(3)}}}

solutions:

{{{x-1 = sqrt(3)}}}

{{{x =1+ sqrt(3)}}}

or

{{{x-1 = -sqrt(3)}}}

{{{x =1- sqrt(3)}}}