## anonymous 5 years ago Complete the square y^2+1/3y=2/3

1. anonymous

half (1/3) and you get 1/6

2. anonymous

square (1/6) and you get 1/36

3. anonymous

add 1/36 to both sides of the equation

4. anonymous

y^2 +(1/3)y +(1/36) = 2/3 + 1/36 collect the LHS as a perfect sqaure

5. anonymous

(y+(1/6) ) ^2 = 25 / 36

6. anonymous

$(y + \frac{1}{6})^2 = \frac{25}{36}$