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(1/2)*(x-5)^2-100 = 0
1/2*(x-5)^2-100 = 0
1/2*(x-5)^2-100 = 0
1/2*x^2-5*x-175/2 = 0
1/2*x^2-5*x-175/2 = 0
1/2*x^2-5*x-175/2 = 0
DELTA = (-5)^2-(-175/2*1/2*4)
DELTA = 200
DELTA > 0
x = (200^(1/2)+5)/(1/2*2) or x = (5-200^(1/2))/(1/2*2)
x = 10*2^(1/2)+5 or x = 5-10*2^(1/2)
(x+10*2^(1/2)-5)*(x-10*2^(1/2)-5) = 0
(x+10*2^(1/2)-5)*(x-10*2^(1/2)-5) = 0
( x+10*2^(1/2)-5 )
x+10*2^(1/2)-5 = 0 // - 10*2^(1/2)-5
x = -(10*2^(1/2)-5)
x = 5-(10*2^(1/2))
( x-10*2^(1/2)-5 )
x-10*2^(1/2)-5 = 0 // + -10*2^(1/2)-5
x = -(-10*2^(1/2)-5)
x = 5-(-10*2^(1/2))
x in { 5-(10*2^(1/2)), 5-(-10*2^(1/2)) }
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