x+1/2x^2+4x+6

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Solution for x+1/2x^2+4x+6 equation: 


x in (-oo:+oo)

(1/2)*x^2+x+4*x+6 = 0

1/2*x^2+5*x+6 = 0

DELTA = 5^2-(1/2*4*6)

DELTA = 13

DELTA > 0

x = (13^(1/2)-5)/(1/2*2) or x = (-13^(1/2)-5)/(1/2*2)

x = 13^(1/2)-5 or x = -(13^(1/2)+5)

x in { -(13^(1/2)+5), 13^(1/2)-5 }

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