X^4-64=0

The examples we did in class had solutions like "x=+-2" and "x=+-i (square root) 3.

Step-by-step 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)