Question

Complete the square 3x^2+12x=15

Answer 1

Explanation:

`3 {x}^(2) + 12x = 15 \\ 3 ({x}^(2) + 4x) = 15 \\ {x}^(2) + 4x = 5 \\ {x}^(2) + 4x = 5 \\ {x}^(2) + 4x + 4 = 5 + 4 \\ {x}^(2) + 4x + 4 = 9 \\ {x}^(2) + 4x + {2}^(2) = {3}^(2) \\ \red{ \bold{ (x + 2)^(2) = {3}^(2)}} \\`