Solve x^5=x 11 - ScanMath

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Type your math problem... x^5=x 11

Question

Solve the equation

x_{1} = - 411, x_{2} = 0, x_{3} = 411

Alternative Form

x_{1} \approx - 1.82116, x_{2} = 0, x_{3} \approx 1.82116

Evaluate

x^{5} = x \times 11

Use the commutative property to reorder the terms

x^{5} = 11 x

Move the expression to the left side

x^{5} - 11 x = 0

Factor the expression

x (x^{4} - 11) = 0

Separate the equation into 2 possible cases

x = 0 x^{4} - 11 = 0

Solve the equation

More Steps

Evaluate

x^{4} - 11 = 0

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

x^{4} = 0 + 11

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

x^{4} = 11

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

x = \pm 411

Separate the equation into 2 possible cases

x = 411 x = - 411

x = 0 x = 411 x = - 411

Solution

x_{1} = - 411, x_{2} = 0, x_{3} = 411

Alternative Form

x_{1} \approx - 1.82116, x_{2} = 0, x_{3} \approx 1.82116

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