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x in (-oo:+oo)
((1/2)*x-1)^2+(1/2)*x-72-1 = 0
(1/2*x-1)^2+x/2-72-1 = 0
(2*(1/2*x-1)^2)/2+x/2+(-72*2)/2+(-1*2)/2 = 0
2*(1/2*x-1)^2+x-72*2-1*2 = 0
1/2*x^2-x-144-2+2 = 0
1/2*x^2-x-142-2 = 0
1/2*x^2-x-144 = 0
1/2*x^2-x-144 = 0
1/2*x^2-x-144 = 0
DELTA = (-1)^2-(-144*1/2*4)
DELTA = 289
DELTA > 0
x = (289^(1/2)+1)/(1/2*2) or x = (1-289^(1/2))/(1/2*2)
x = 18 or x = -16
(x+16)*(x-18) = 0
((x+16)*(x-18))/2 = 0
((x+16)*(x-18))/2 = 0 // * 2
(x+16)*(x-18) = 0
( x+16 )
x+16 = 0 // - 16
x = -16
( x-18 )
x-18 = 0 // + 18
x = 18
x in { -16, 18 }
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