Algebra Examples

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

Step 1

Set ${(x^{2} + 1)}^{2}$ equal to $0$ .

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

Step 2

Solve for $x$ .

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Step 2.1

Set the $x^{2} + 1$ equal to $0$ .

$x^{2} + 1 = 0$

Step 2.2

Solve for $x$ .

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Step 2.2.1

Subtract $1$ from both sides of the equation.

$x^{2} = - 1$

Step 2.2.2

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt{- 1}$

Step 2.2.3

Rewrite $\sqrt{- 1}$ as $i$ .

$x = \pm i$

Step 2.2.4

The complete solution is the result of both the positive and negative portions of the solution.

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Step 2.2.4.1

First, use the positive value of the $\pm$ to find the first solution.

$x = i$

Step 2.2.4.2

Next, use the negative value of the $\pm$ to find the second solution.

$x = - i$

Step 2.2.4.3

The complete solution is the result of both the positive and negative portions of the solution.

$x = i, - i$

Step 3