Solve x^3 = 16x - ScanMath

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Type your math problem... x^3 = 16x

Question

Solve the equation

x_{1} = - 4, x_{2} = 0, x_{3} = 4

Evaluate

x^{3} = 16 x

Move the expression to the left side

x^{3} - 16 x = 0

Factor the expression

x (x^{2} - 16) = 0

Separate the equation into 2 possible cases

x = 0 x^{2} - 16 = 0

Solve the equation

More Steps

Evaluate

x^{2} - 16 = 0

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

x^{2} = 0 + 16

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

x^{2} = 16

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

x = \pm 16

Simplify the expression

More Steps

Evaluate

16

Write the number in exponential form with the base of 4

4^{2}

Reduce the index of the radical and exponent with 2

4

x = \pm 4

Separate the equation into 2 possible cases

x = 4 x = - 4

x = 0 x = 4 x = - 4

Solution

x_{1} = - 4, x_{2} = 0, x_{3} = 4

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