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# help

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

Apr 30, 2022

#1
+267
+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
+267
+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:

$$z=\sqrt2$$ $$or$$$$-\sqrt2$$

WhyamIdoingthis Apr 30, 2022