What is ((2+i))/((2-i)) ?

The solution to ((2+i))/((2-i)) is 3/5+4/5 i

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simplify ((2+i))/((2-i))

simplify

\frac{( 2 + i )}{( 2 - i )}

\frac{3}{5} + \frac{4}{5} i

Solution steps

\frac{2 + i}{2 - i}

Multiply by the conjugate

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

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

Simplify

\frac{( 2 + i ) ( 2 + i )}{( 2 - i ) ( 2 + i )} : \frac{4 i + 3}{5}

= \frac{4 i + 3}{5}

Rewrite in standard complex form:

\frac{3}{5} + \frac{4}{5} i

= \frac{3}{5} + \frac{4}{5} i

2 (b + 12) = 16

3 x^{2} + 12 x + 21 = 9

(\frac{x ^{6}}{9 y ^{- 4}})^{- \frac{1}{2}}

200 - 72

\frac{3 a - 11}{5} = 8