Question 464160
solve by completing the square
x^2-9/2x-1/2=0
x^2-9/2x=1/2
(9/2/2)^2=(9/4)^2=81/16
x^2-9/2x+81/16=1/2+81/16 = 8/16 + 81/16 = 89/16
(x-9/2)^2=89/16
------------
{{{x - 9/2 = sqrt(89)/4}}}
{{{x = 9/2 + sqrt(89)/4}}}
{{{x = 9/2 - sqrt(89)/4}}}