Question

Complete the square y^2+1/3y=2/3

Answer 1

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

Answer 2

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

Answer 3

add 1/36 to both sides of the equation

Answer 4

y^2 +(1/3)y +(1/36) = 2/3 + 1/36

collect the LHS as a perfect sqaure

Answer 5

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

Answer 6

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