What is (10)/(1-4i) ?

The solution to (10)/(1-4i) is 10/17+40/17 i

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simplify (10)/(1-4i)

simplify

\frac{10}{1 - 4 i}

\frac{10}{17} + \frac{40}{17} i

Solution steps

\frac{10}{1 - 4 i}

Multiply by the conjugate

\frac{1 + 4 i}{1 + 4 i}

= \frac{10 ( 1 + 4 i )}{( 1 - 4 i ) ( 1 + 4 i )}

Simplify

\frac{10 ( 1 + 4 i )}{( 1 - 4 i ) ( 1 + 4 i )} : \frac{10 + 40 i}{17}

= \frac{10 + 40 i}{17}

Rewrite in standard complex form:

\frac{10}{17} + \frac{40}{17} i

= \frac{10}{17} + \frac{40}{17} i

lo g_{10} (1.2)

(3 x^{2} + 2)^{2}

s^{2} + 2 s - 3

\frac{1}{6} \div 2

1 + (- 5)