Question

Using the quadratic formula, which of the following is the solution to the

quadratic equation below?
x^2- 6x +11 = 0

Answer 1

`{x}^(2) - 6x + 11 = 0 \\ x = \frac{ - b± \sqrt{ {b}^(2) - 4ac} }{2a} \\ x = (6± √( - 8) )/(2) \\ x = (6±2i √(2) )/(2) \\ x = 3±i √(2)`

Answer 2

`x=3\pm√(2)i`

Explanation:

`x^2-6x+11=0`

`x=(-b\pm√(b^2-4ac) )/(2a)`

`x=(-(-6)\pm√((-6)^2-4(1)(11)) )/(2(1))`

`x=(6\pm√(36-44) )/(2)`

`x=(6\pm√(-8) )/(2)`

`x=(6\pm2√(2)i )/(2)`

`x=3\pm√(2)i`