Answer:
(x + 2)² = 7
Step-by-step explanation:
We have to complete the square in the given equation
3x² + 12x = 9
3x² + 12x - 9 = 0
3[x² + 4x -3] = 0
3[x² + 2(2x) + 4 - 4 - 3] = 0
3[x² + 2(2x) + 4] - 3 × 7 = 0
3[x² + 2]² - 21 = 0
(x + 2)² = [tex]\frac{21}{3}[/tex] = 7
Therefore, the square form of the equation is (x + 2)² = 7
