What is the answer to |x^3+x|^2=4 ?

The answer to |x^3+x|^2=4 is x=-1\lor x=1

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|x^3+x|^2=4

x^{3} + x^{2} = 4

x = - 1 or x = 1

Solution steps

x^{3} + x^{2} = 4

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 1 or x = 1

∣ 11 - 3 t ∣ = 2

∣ 7 x ∣ = 49

∣ 3 x + 1 ∣ = 4 x + 1

∣ 3 X - 2 ∣ = X - 18

∣ x - 3 ∣ = - (x - 3)