Question

X^4-64=0
The examples we did in class had solutions like "x=+-2" and "x=+-i(square root)3.​

Answer 1

Explanation:

This isn't the same thing although you will get some factors that have i in them

(x^4 - 64) factors using the difference of squares.

(x^2 - 8)(x^2 + 8) Both of these factor using the difference of squares.

(x^2 - 8): factors into (x + sqrt(8) )(x - sqrt(8) )

(x^2 - 8): factors further (x + 2*sqrt2)(x - 2sqrt(2)

(x ^2 + 8) : (x + sqrt(8)i ) (x - sqrt(8)i )

(x^2 + 8) : (x + 2sqrt(2)i) (x - 2sqrt(2)i)

Final answer

(x + 2*sqrt2)(x - 2sqrt(2)(x + 2*sqrt2)(x - 2sqrt(2)