Question

x^2 =-2
I'm having a brain fart. What happens after this?

Answer 1

or you can add 2 to both sides and factor it

Answer 2

or just take the sqrt

Answer 3

you learnt about imaginary numbers, right ?

Answer 4

yes I have

Answer 5

good,
so you know \(\large \sqrt{-1}=i\)
right ?

what u get if you take square root on both sides of x^2 = -2 ?

Answer 6

i^2=-1 so, -1 x -2 =2. So the answer is 2?

Answer 7

x^2 = -2
\(\sqrt {x^2} = \pm \sqrt {-2} = \pm \sqrt {-1} \sqrt 2 \\x = \pm i \sqrt 2 \)

Answer 8

so your 2 values of x are
+i sqrt 2
and -i sqrt 2

Answer 9

ohh Ok Got it! Thanks!

Answer 10

welcome ^_^