Solve x^4-2x^21=0

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Example problems

Type your math problem... x^4-2x^21=0

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

x^{4} - 2 x^{2} \times 1 = 0

Multiply the terms

x^{4} - 2 x^{2} = 0

Factor the expression

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

Separate the equation into 2 possible cases

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

The only way a power can be 0 is when the base equals 0

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

Solve the equation

More Steps

Evaluate

x^{2} - 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

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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