What is the answer to 4x^3-x/(|x|)=0 ?

The answer to 4x^3-x/(|x|)=0 is x=-1/(\sqrt[3]{4)},x= 1/(\sqrt[3]{4)}

Solve for x: 4x^3-x/(|x|)=0

The solution is x=-1/(\sqrt[3]{4)},x= 1/(\sqrt[3]{4)}

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Popular >

4 x^{3} - \frac{x}{∣ x ∣} = 0

x = - \frac{1}{3 4}, x = \frac{1}{3 4}

Decimal

x = - 0.62996 \dots, x = 0.62996 \dots

Solution steps

4 x^{3} - \frac{x}{∣ x ∣} = 0

Multiply both sides by

∣ x ∣

4 x^{3} ∣ x ∣ - x = 0

Solve

4 x^{3} ∣ x ∣ - x = 0 : x = 0, x = - \frac{1}{3 4}, x = \frac{1}{3 4}

x = 0, x = - \frac{1}{3 4}, x = \frac{1}{3 4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = - \frac{1}{3 4}, x = \frac{1}{3 4}

∣ x + 4 ∣ = 29

- 3 ∣ - 5 x - 1 ∣ = - 2 x + 3

∣ x + 1 ∣ + ∣ x - 1 ∣ = x + 4

y, x = - 2 ∣ y ∣ - 5

x^{2} - 1 = 8

What is the answer to 4x^3-x/(|x|)=0 ?
The answer to 4x^3-x/(|x|)=0 is x=-1/(\sqrt[3]{4)},x= 1/(\sqrt[3]{4)}
Solve for x: 4x^3-x/(|x|)=0
The solution is x=-1/(\sqrt[3]{4)},x= 1/(\sqrt[3]{4)}