by completing square, we have x^2+3x=5

we add (3/2)^2 to both sides of the equation.

x^2+3x+(3/2)^2=5+(3/2)^2

(x+3/2)^2=5+9/4

(x+3/2)^2=29/4

x+3/2=sqrt(29/4)

x=+/- (2.69)-1.5

x=1.19 or -4.19

the correct answer is C

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