Solve 2x 1=x^3 - ScanMath

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Type your math problem... 2x 1=x^3

Question

Solve the equation

x_{1} = - 2, x_{2} = 0, x_{3} = 2

Alternative Form

x_{1} \approx - 1.414214, x_{2} = 0, x_{3} \approx 1.414214

Evaluate

2 x \times 1 = x^{3}

Multiply the terms

2 x = x^{3}

Move the expression to the left side

2 x - x^{3} = 0

Factor the expression

x (2 - x^{2}) = 0

Separate the equation into 2 possible cases

x = 0 2 - x^{2} = 0

Solve the equation

More Steps

Evaluate

2 - x^{2} = 0

Move the constant to the right-hand side and change its sign

- x^{2} = 0 - 2

Removing 0 doesn't change the value,so remove it from the expression

- x^{2} = - 2

Change the signs on both sides of the equation

x^{2} = 2

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 2

Separate the equation into 2 possible cases

x = 2 x = - 2

x = 0 x = 2 x = - 2

Solution

x_{1} = - 2, x_{2} = 0, x_{3} = 2

Alternative Form

x_{1} \approx - 1.414214, x_{2} = 0, x_{3} \approx 1.414214

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