What is (-3+4i)/(2(3/2)+7i) ?

The solution to (-3+4i)/(2(3/2)+7i) is 19/58+33/58 i

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simplify (-3+4i)/(2(3/2)+7i)

simplify

\frac{- 3 + 4 i}{2 ( \frac{3}{2} ) + 7 i}

\frac{19}{58} + \frac{33}{58} i

Solution steps

\frac{- 3 + 4 i}{2 ( \frac{3}{2} ) + 7 i}

Multiply by the conjugate

\frac{2 \cdot \frac{3}{2} - 7 i}{2 \cdot \frac{3}{2} - 7 i}

= \frac{( - 3 + 4 i ) ( 2 \cdot \frac{3}{2} - 7 i )}{( 2 \cdot \frac{3}{2} + 7 i ) ( 2 \cdot \frac{3}{2} - 7 i )}

Simplify

\frac{( - 3 + 4 i ) ( 2 \cdot \frac{3}{2} - 7 i )}{( 2 \cdot \frac{3}{2} + 7 i ) ( 2 \cdot \frac{3}{2} - 7 i )} : \frac{19 + 33 i}{58}

= \frac{19 + 33 i}{58}

Rewrite in standard complex form:

\frac{19}{58} + \frac{33}{58} i

= \frac{19}{58} + \frac{33}{58} i

x - 1 \geq 8

(2 x)^{\frac{3}{4}}

7 x^{2} + 9 x - 10

\frac{3 ( 3.82 ) + 2.5 ( 4.41 )}{5.5}

5 x^{2} + 3.28 x - 0.308 = 0

What is (-3+4i)/(2(3/2)+7i) ?
The solution to (-3+4i)/(2(3/2)+7i) is 19/58+33/58 i