Answer:
(6 ± 3i)/5
Step-by-step explanation:
12x = 9 + 5x²
5x² - 12x + 9 = 0
Method 1
Factors that add to = b (-12) and multiply to = ac (45): 3 and -15
5x² + 3x - 15x + 9 = 0
5x(x - 3) + 3(x + 3) = 0
(x-3) and (x+3) do not match !!!!
Method 2 - Quadratic Formula
-b ± √(b² - 4ac)/2a
12 ± √((-12)² - 4(5)(9))/2(5)
12 ± √((-12)² - 4(5)(9))/2(5)
12 ± √(144 - 180)/10
12 ± √-36/10
(12 ± 6i)/10
(6 ± 3i)/5
I hope this helps!
