Solve x^3-25x=0 - ScanMath

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Type your math problem... x^3-25x=0

Question

Solve the equation

x_{1} = - 5, x_{2} = 0, x_{3} = 5

Evaluate

x^{3} - 25 x = 0

Factor the expression

x (x^{2} - 25) = 0

Separate the equation into 2 possible cases

x = 0 x^{2} - 25 = 0

Solve the equation

More Steps

Evaluate

x^{2} - 25 = 0

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

x^{2} = 0 + 25

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

x^{2} = 25

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

x = \pm 25

Simplify the expression

More Steps

Evaluate

25

Write the number in exponential form with the base of 5

5^{2}

Reduce the index of the radical and exponent with 2

5

x = \pm 5

Separate the equation into 2 possible cases

x = 5 x = - 5

x = 0 x = 5 x = - 5

Solution

x_{1} = - 5, x_{2} = 0, x_{3} = 5

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