Question

X2 -6x+12
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Answer 1

Answer:

x=3±i√3

Remember, i is the imaginary unit, or

i=√(-1)

You can use quadratic formula if you know, but I've solved it without using the formula.

Step-by-step explanation:

$x^2-6x+12=0\\\implies x^2-6x=-12\\\implies x^2-6x+3^2=-12+3^2\\\implies x^2-2x(3)+3^2=-12+9\\\implies (x-3)^2=-3\\\implies x-3=\sqrt{-3}\\\implies x-3=\pm i\sqrt3\\\implies x=3\pm i \sqrt3$

Hope it helps!

<3