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(1/2)*x^2-(5*x)-7 = 0
(1/2)*x^2-5*x-7 = 0
1/2*x^2-5*x-7 = 0
DELTA = (-5)^2-(-7*1/2*4)
DELTA = 39
DELTA > 0
x = (39^(1/2)+5)/(1/2*2) or x = (5-39^(1/2))/(1/2*2)
x = 39^(1/2)+5 or x = 5-39^(1/2)
x in { 5-39^(1/2), 39^(1/2)+5 }
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