Trigonometry Examples

${(u - 2)}^{3} - 56 = 0$

Step 1

Add $56$ to both sides of the equation.

${(u - 2)}^{3} = 56$

Step 2

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

$u - 2 = \sqrt[3]{56}$

Step 3

Simplify $\sqrt[3]{56}$ .

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Step 3.1

Rewrite $56$ as $2^{3} \cdot 7$ .

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Step 3.1.1

Factor $8$ out of $56$ .

$u - 2 = \sqrt[3]{8 (7)}$

Step 3.1.2

Rewrite $8$ as $2^{3}$ .

$u - 2 = \sqrt[3]{2^{3} \cdot 7}$

Step 3.2

Pull terms out from under the radical.

$u - 2 = 2 \sqrt[3]{7}$

Step 4

Add $2$ to both sides of the equation.

$u = 2 \sqrt[3]{7} + 2$

Step 5

The result can be shown in multiple forms.

Exact Form:

$u = 2 \sqrt[3]{7} + 2$

Decimal Form:

$u = 5.82586236 \dots$