Question 694064
x^2-3x   = 8  add 8 to both sides so you can form the perfect square
(-3/2)^2  divide -3 by 2 and then square the answer for 3rd term
x^2-3x+9/4=8+9/4  add 9/4 to each side
(x-3/2)(x-3/2)= 41/4 reverse foil and combine like terms
(x-3/2)^2=41/4 
x-3/2=ħsqrt(41/4) take the sqrt of both sides
x=3/2ħsqrt(41)/2 You can simplify more if you need to.