Linear Algebra Examples

$(x^{3} - 3 i x - 5 (1 + i)) \div (x - 1 + i)$

Step 1

Set the denominator in $(x^{3} - 3 i x - 5 (1 + i)) \div (x - 1 + i)$ equal to $0$ to find where the expression is undefined.

$x - 1 + i = 0$

Step 2

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

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Step 2.1

Add $1$ to both sides of the equation.

$x + i = 1$

Step 2.2

Subtract $i$ from both sides of the equation.

$x = 1 - i$

Step 3

The domain is all real numbers.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Step 4