Question

Solve 6x^2 - 12x + 24 = 0 by completing the square

Answer 1

Answer:
`\quad x=1+√(3)i,\:x=1-√(3)i`

Step-by-step explanation:
`x_(1,\:2)=(-\left(-12\right)\pm √(\left(-12\right)^2-4\cdot \:6\cdot \:24))/(2\cdot \:6)`

• 
  `x_(1,\:2)=(-\left(-12\right)\pm \:12√(3)i)/(2\cdot \:6)`

• 
  `x_1=(-\left(-12\right)+12√(3)i)/(2\cdot \:6),\:x_2=(-\left(-12\right)-12√(3)i)/(2\cdot \:6)`

• 
  `x=1+√(3)i,\:x=1-√(3)i`