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Popular >

simplify (80)/(2-6i)

Solution

simplify

\frac{80}{2 - 6 i}

Solution

4 + 12 i

Solution steps

\frac{80}{2 - 6 i}

Multiply by the conjugate

\frac{2 + 6 i}{2 + 6 i}

= \frac{80 ( 2 + 6 i )}{( 2 - 6 i ) ( 2 + 6 i )}

Simplify

\frac{80 ( 2 + 6 i )}{( 2 - 6 i ) ( 2 + 6 i )} : \frac{160 + 480 i}{40}

= \frac{160 + 480 i}{40}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{160}{40} + \frac{480}{40} i

Simplify

\frac{160}{40} + \frac{480}{40} i : 4 + 12 i

= 4 + 12 i

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Frequently Asked Questions (FAQ)

What is (80)/(2-6i) ?
The solution to (80)/(2-6i) is 4+12i