Algebra Examples

$z = \frac{5 \sqrt{3}}{4} - \frac{5}{4} i$

Step 1

Since $x = r \cos (θ)$ , replace $x$ with $r \cos (θ)$ .

$z = \frac{5 \sqrt{3}}{4} - \frac{5}{4} \cdot i$

Step 2

Simplify each term.

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Step 2.1

Combine $i$ and $\frac{5}{4}$ .

$z = \frac{5 \sqrt{3}}{4} - \frac{i \cdot 5}{4}$

Step 2.2

Move $5$ to the left of $i$ .

$z = \frac{5 \sqrt{3}}{4} - \frac{5 i}{4}$