What is (24+4i)/(24-4i) ?

The solution to (24+4i)/(24-4i) is 35/37+12/37 i

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simplify (24+4i)/(24-4i)

simplify

\frac{24 + 4 i}{24 - 4 i}

\frac{35}{37} + \frac{12}{37} i

Solution steps

\frac{24 + 4 i}{24 - 4 i}

Multiply by the conjugate

\frac{24 + 4 i}{24 + 4 i}

= \frac{( 24 + 4 i ) ( 24 + 4 i )}{( 24 - 4 i ) ( 24 + 4 i )}

Simplify

\frac{( 24 + 4 i ) ( 24 + 4 i )}{( 24 - 4 i ) ( 24 + 4 i )} : \frac{192 i + 560}{592}

= \frac{192 i + 560}{592}

Rewrite in standard complex form:

\frac{35}{37} + \frac{12}{37} i

= \frac{35}{37} + \frac{12}{37} i

\frac{n ( n + 1 ) ( 2 n + 1 )}{6} + (n + 1)^{2}

40 x^{1} + 8 x^{2} = 800

8 1^{\frac{1}{2}}

(x - 6) (x + 0.7) = 0

∣ 2 x - 2 ∣ > 8