x^2+3x+4

X^{2}+3x+4=0

X^{2}+2*x*3/2+(3/2)^{2} = -4+(3/2)^{2} = -4+9/4 = -7/4

(x+3/2)^{2} = [sqrt(-7/4)]^{2}

x+3/2 = ±sqrt(-7/4)

x= -3/2 ±sqrt(-7/4)

x = [-3 ±√(-7)]/2

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