Answer:
C) x = -2 ± [tex]\sqrt{7}[/tex]
Step-by-step explanation:
3x² + 12x - 9 = 0
divide through by 3
x² + 4x - 3 = 0
add 3 to each side
x² + 4x = 3
divide 4 in half and square it; add it to each side of equation
x² + 4x + 4 = 3 + 4
(x + 2)² = 7
x + 2 = [tex]\sqrt{7}[/tex]
x = -2 ± [tex]\sqrt{7}[/tex]
