Question

x^2+3/2x=3

solve by completing the square.

Answer 1

x^2 + 3/2x = 3
x^2+3/2x + 9/16 -9/16 = 3
(x+3/4)^2 = 57/16
(x+3/4) = (+/-)((57^0.5)/4)

x = ((57^0.5) - 3) / 4 or x = (-(57^0.5)-3) / 4

Answer 2

\[x ^{2} +3/2x =3\]

Answer 3

\[2x ^{2}+3x=6\]

Answer 4

\[2x ^{2}+3x-6=0\]

Answer 5

x_1,_2=(-3+=-sqrt(9+48))/4 =(-3+/-sqrt(57))/4