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Find all values of z such that z^4 - 4z^2 +4 = 0.

 Feb 24, 2021
 #1
avatar+944 
+1

Let z^2 = a, so we are solving:

 

a^2 - 4a + 4 = 0

 

(a - 2)^2 = 0

 

a = 2

 

z^2 = 2

 

\(\boxed{z = \pm \sqrt{2}}\)

 Feb 24, 2021
 #2
avatar+266 
+1

 

cheekycheekycheeky

.
 Feb 24, 2021

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