y^2 + 1/4 = -y

how do i do this??? I'm stuck

2 answers

multiply both sides by 4, gather terms.

4Y^2+4y+1=0
(2y+1)^2=0

y= -1/2
y^2 + y + 1/4 = 0

y = [ -1 +/- sqrt (1 -1) ]/2
= -1/2
double zero at -1/2