Solve x^4+x^2 - ScanMath

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Example problems

Type your math problem... x^4+x^2

Question

Factor the expression

x^{2} (x^{2} + 1)

Evaluate

x^{4} + x^{2}

Rewrite the expression

x^{2} \times x^{2} + x^{2}

Solution

x^{2} (x^{2} + 1)

Show Solution

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

Evaluate

x^{4} + x^{2}

To find the roots of the expression,set the expression equal to 0

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

Factor the expression

x^{2} (x^{2} + 1) = 0

Separate the equation into 2 possible cases

x^{2} = 0 x^{2} + 1 = 0

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

x = 0 x^{2} + 1 = 0

Solve the equation

More Steps

Evaluate

x^{2} + 1 = 0

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

x^{2} = 0 - 1

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

x^{2} = - 1

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

x = \pm - 1

Simplify the expression

x = \pm i

Separate the equation into 2 possible cases

x = i x = - i

x = 0 x = i x = - i

Solution

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

Show Solution

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