Question

Find the complex roots in the following: f(x) =(x-1)(x^2-3)(x^2+3)

Answer 1

HI!!

Answer 2

complex roots are the ones you get from setting
\[x^2+3=0\] you solve in two steps only
do you know how?

Answer 3

Not really. Can you tell me how to find it?

Answer 4

sure a
a) subtract \(3\) from both sides, get
\[x^2=-3\]

Answer 5

b) then take the square root of both sides
\[x=\pm\sqrt{-3}\]

Answer 6

x^2+3=0
subract 3 from both sides
x^2=-3
take square root of both sides
x=+ or _ root(-3)

Answer 7

eh misty got this :)

Answer 8

because the number inside the radical is negative , it is not a real number
you can write it as
\[x=\pm\sqrt3 i\] if you like

Answer 9

So the complex roots are 1, \[\pm \sqrt{3}\]?