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x in (-oo:+oo)
(1/7)*(x-2)^2 = 6 // - 6
(1/7)*(x-2)^2-6 = 0
1/7*(x-2)^2-6 = 0
1/7*(x-2)^2-6 = 0
1/7*x^2-4/7*x-38/7 = 0
1/7*x^2-4/7*x-38/7 = 0
1/7*(x^2-4*x-38) = 0
x^2-4*x-38 = 0
DELTA = (-4)^2-(-38*1*4)
DELTA = 168
DELTA > 0
x = (168^(1/2)+4)/(1*2) or x = (4-168^(1/2))/(1*2)
x = (2*42^(1/2)+4)/2 or x = (4-2*42^(1/2))/2
1/7*(x-((4-2*42^(1/2))/2))*(x-((2*42^(1/2)+4)/2)) = 0
1/7*(x-((4-2*42^(1/2))/2))*(x-((2*42^(1/2)+4)/2)) = 0
( 1/7 )
1/7 = 0
x belongs to the empty set
( x-((2*42^(1/2)+4)/2) )
x-((2*42^(1/2)+4)/2) = 0 // + (2*42^(1/2)+4)/2
x = (2*42^(1/2)+4)/2
( x-((4-2*42^(1/2))/2) )
x-((4-2*42^(1/2))/2) = 0 // + (4-2*42^(1/2))/2
x = (4-2*42^(1/2))/2
x in { (2*42^(1/2)+4)/2, (4-2*42^(1/2))/2 }
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