algebra
posted by Becky .
Solve by completing the square
x^2+3/2x=3

The "square" would be x^2 + 3/2 x + 9/16, so add 9/16 to both sides of the equation and then take the square root of both sides.
The first step will give you
(x + 3/4)^2 = 3 9/16 = 57/16
x + 3/4 = +/ sqrt(57/16)
x = 3/4 +/ (1/4)sqrt57