Solve the given equation: a4 – 3a2 + 2 = 0

Solve the given equation: a4 – 3a2 + 2 = 0

Answer:
a4 – 3a2 + 2 = 0
Put a2 = m, then the given equation will become
m2 – 3 m + 2 = 0
m2 – 2m – 1m + 2 = 0
m(m – 2) – 1(m – 2) = 0
(m – 2) (m – 1) = 0
m – 2 = 0      OR     m – 1 = 0
m = 2       OR     m  = 1

Now, re substituting m = a2

m  = 2
m = 1
a2 = 2
a2 = 1
a = ± 2
a = ± 1

a = ± 1


Solution Set: {2,  - 2, 1, -1 }

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