h^2+3h-1=0 Solve by completing the square. How do I do this?

Answer 1

h^2 + 3 h = 1

take half of 3, square it, add to both sides

h^2 + 3 h + (3/2)^2 = 1 + 9/4 = 13/4

(h+3/2)^2 = 13/4

h + 3/2 = +/-(1/2)sqrt (13)

h = -1.5 +/- .5 sqrt(13)