+0  
 
0
26
1
avatar

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

 Apr 30, 2022

Best Answer 

 #1
avatar+214 
+2

Let x be z².

The equation turns into this:

x²-4x+4=0

This factors as:

(x-2)²=0

x would be equal to two. Set 2 equal to z² and solve:

\(z=\sqrt2 \) \(or \)\(-\sqrt2\)

 Apr 30, 2022
 #1
avatar+214 
+2
Best Answer

Let x be z².

The equation turns into this:

x²-4x+4=0

This factors as:

(x-2)²=0

x would be equal to two. Set 2 equal to z² and solve:

\(z=\sqrt2 \) \(or \)\(-\sqrt2\)

WhyamIdoingthis Apr 30, 2022

21 Online Users