What is the answer to x^4=2-|x| ?

The answer to x^4=2-|x| is x=-1\lor x=1

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x^4=2-|x|

x^{4} = 2 - ∣ x ∣

x = - 1 or x = 1

Solution steps

x^{4} = 2 - ∣ x ∣

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 1 or x = 1

5 x^{2} + 26 x + 5

2 x + 1 = x + 2

(5 x)^{3}

3 x^{2} + 2 x - 12 = - 7 x

x^{2} + 0.000064 x - 0.00000024 = 0