Finite Math Examples

$x^{3} = - 25$

Step 1

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

$x = \sqrt[3]{- 25}$

Step 2

Simplify $\sqrt[3]{- 25}$ .

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Step 2.1

Rewrite $- 25$ as ${(- 1)}^{3} \cdot 25$ .

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Step 2.1.1

Rewrite $- 25$ as $- 1 (25)$ .

$x = \sqrt[3]{- 1 (25)}$

Step 2.1.2

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

$x = \sqrt[3]{{(- 1)}^{3} \cdot 25}$

Step 2.2

Pull terms out from under the radical.

$x = - 1 \sqrt[3]{25}$

Step 2.3

Rewrite $- 1 \sqrt[3]{25}$ as $- \sqrt[3]{25}$ .

$x = - \sqrt[3]{25}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = - \sqrt[3]{25}$

Decimal Form:

$x = - 2.92401773 \dots$