3k^2=11+6k : complete the square

3 (k - 1) ² = 12

Step-by-step explanation:

To complete the square, write the equation standard form and make the a term's coefficient 1.

3k² = 11 + 6k

3k² - 6k - 11 = 0

3 (k² - 2k) = 11

Take the middle term - 2k and divide the coefficient in 2 and square it. Here it is - 2/2 = - 1. - 1² = 1. Add 1 to both sides.

3 (k² - 2k + 1) = 11 + 1

3 (k - 1) ² = 12