Precalculus Examples

$z^{3} - 3 + i = 0$

Step 1

Move all terms not containing $z$ to the right side of the equation.

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Step 1.1

Add $3$ to both sides of the equation.

$z^{3} + i = 3$

Step 1.2

Subtract $i$ from both sides of the equation.

$z^{3} = 3 - i$

Step 2

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

$z = \sqrt[3]{3 - i}$