Answer:
3(k - 1)² = 12
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