Finite Math Examples

$x^{3} + 1 = - 2$

Step 1

Add $2$ to both sides of the equation.

$x^{3} + 1 + 2 = 0$

Step 2

Add $1$ and $2$ .

$x^{3} + 3 = 0$

Step 3

Subtract $3$ from both sides of the equation.

$x^{3} = - 3$

Step 4

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

$x = \sqrt[3]{- 3}$

Step 5

Simplify $\sqrt[3]{- 3}$ .

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Step 5.1

Rewrite $- 3$ as ${(- 1)}^{3} \cdot 3$ .

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Step 5.1.1

Rewrite $- 3$ as $- 1 (3)$ .

$x = \sqrt[3]{- 1 (3)}$

Step 5.1.2

Rewrite $- 1$ as ${(- 1)}^{3}$ .

$x = \sqrt[3]{{(- 1)}^{3} \cdot 3}$

Step 5.2

Pull terms out from under the radical.

$x = - 1 \sqrt[3]{3}$

Step 5.3

Rewrite $- 1 \sqrt[3]{3}$ as $- \sqrt[3]{3}$ .

$x = - \sqrt[3]{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \sqrt[3]{3}$

Decimal Form:

$x = - 1.44224957 \dots$