Question

Complete the square to write 6x2 + 12x + 9 = 0 in the form of a(x − b)2 = c; where a, b and c are integers.

Answer 1

Note that the formula is: ax² + b(x) + c =0

You are trying to write it in the form: a(x - b)² = c

Note that:

a = 6

b = 12

c = 9

Plug into corresponding places: 6(x - 12)² = 9

Because you are just telling us to write it in the form a(x − b)² = c, 6(x - 12)² = 9

is your answer

hope this helps