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x in (-oo:+oo)
(x-7)^2 = 7/2 // - 7/2
(x-7)^2-(7/2) = 0
(x-7)^2-7/2 = 0
(2*(x-7)^2)/2-7/2 = 0
2*(x-7)^2-7 = 0
2*x^2-28*x+91 = 0
2*x^2-28*x+91 = 0
2*x^2-28*x+91 = 0
DELTA = (-28)^2-(2*4*91)
DELTA = 56
DELTA > 0
x = (56^(1/2)+28)/(2*2) or x = (28-56^(1/2))/(2*2)
x = (2*14^(1/2)+28)/4 or x = (28-2*14^(1/2))/4
(x-((28-2*14^(1/2))/4))*(x-((2*14^(1/2)+28)/4)) = 0
((x-((28-2*14^(1/2))/4))*(x-((2*14^(1/2)+28)/4)))/2 = 0
((x-((28-2*14^(1/2))/4))*(x-((2*14^(1/2)+28)/4)))/2 = 0 // * 2
(x-((28-2*14^(1/2))/4))*(x-((2*14^(1/2)+28)/4)) = 0
( x-((2*14^(1/2)+28)/4) )
x-((2*14^(1/2)+28)/4) = 0 // + (2*14^(1/2)+28)/4
x = (2*14^(1/2)+28)/4
( x-((28-2*14^(1/2))/4) )
x-((28-2*14^(1/2))/4) = 0 // + (28-2*14^(1/2))/4
x = (28-2*14^(1/2))/4
x in { (2*14^(1/2)+28)/4, (28-2*14^(1/2))/4 }
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