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 f(x) = x^4 - 4x^2 

 Nov 22, 2015
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Solve for x:
x^4-4 x^2 = 0

The left hand side factors into a product with three terms:
x^2 (x-2) (x+2) = 0

Split into three equations:
x-2 = 0 or x^2 = 0 or x+2 = 0

Add 2 to both sides:
x = 2 or x^2 = 0 or x+2 = 0

Take the square root of both sides:
x = 2 or x = 0 or x+2 = 0

Subtract 2 from both sides:
Answer: | | x = 2    or x = 0    or x = -2
 

 Nov 22, 2015

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