or by completing the square:
y=x^2 + x
1/2 of b squared where b is 1, so to complete the square would be 1/4
y+1/4=x^2 +x + 1/4
y+ 1/4= (x + 1/2) (x + 1/2)
y+ 1/4= (x + 1/2)^2
Sqrt(y+ 1/4)= x + 1/2
x= Sqrt (y +1/4) - 1/2 for real numbers y>= 1/4