What is (53+56i)/(47-13i) ?

The solution to (53+56i)/(47-13i) is 43/58+81/58 i

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simplify (53+56i)/(47-13i)

simplify

\frac{53 + 56 i}{47 - 13 i}

\frac{43}{58} + \frac{81}{58} i

Solution steps

\frac{53 + 56 i}{47 - 13 i}

Multiply by the conjugate

\frac{47 + 13 i}{47 + 13 i}

= \frac{( 53 + 56 i ) ( 47 + 13 i )}{( 47 - 13 i ) ( 47 + 13 i )}

Simplify

\frac{( 53 + 56 i ) ( 47 + 13 i )}{( 47 - 13 i ) ( 47 + 13 i )} : \frac{1763 + 3321 i}{2378}

= \frac{1763 + 3321 i}{2378}

Apply the fraction rule:

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

= \frac{1763}{2378} + \frac{3321}{2378} i

Simplify

\frac{1763}{2378} + \frac{3321}{2378} i : \frac{43}{58} + \frac{81}{58} i

= \frac{43}{58} + \frac{81}{58} i

x (x + 8) - 3 = 8 x + 1

x y \cdot 4 x y

4 x - 1 = 5 x - 10

a x - b x + a y - b y

\frac{x ^{7}}{x ^{7}}