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

The solution to ((2-i))/((3+4i)) is 2/25-11/25 i

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

simplify

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

\frac{2}{25} - \frac{11}{25} i

Solution steps

\frac{2 - i}{3 + 4 i}

Multiply by the conjugate

\frac{3 - 4 i}{3 - 4 i}

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

Simplify

\frac{( 2 - i ) ( 3 - 4 i )}{( 3 + 4 i ) ( 3 - 4 i )} : \frac{2 - 11 i}{25}

= \frac{2 - 11 i}{25}

Rewrite in standard complex form:

\frac{2}{25} - \frac{11}{25} i

= \frac{2}{25} - \frac{11}{25} i

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x^{2} - 5 x - 12 = 0

x, f (a + h) = 3 x^{2} + 2 x

\frac{x ^{2} + 9 x + 20}{x + 1} > 0