What is ((3-5i))/((2-5i)) ?

The solution to ((3-5i))/((2-5i)) is 31/29+5/29 i

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simplify ((3-5i))/((2-5i))

simplify

\frac{( 3 - 5 i )}{( 2 - 5 i )}

\frac{31}{29} + \frac{5}{29} i

Solution steps

\frac{3 - 5 i}{2 - 5 i}

Multiply by the conjugate

\frac{2 + 5 i}{2 + 5 i}

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

Simplify

\frac{( 3 - 5 i ) ( 2 + 5 i )}{( 2 - 5 i ) ( 2 + 5 i )} : \frac{31 + 5 i}{29}

= \frac{31 + 5 i}{29}

Rewrite in standard complex form:

\frac{31}{29} + \frac{5}{29} i

= \frac{31}{29} + \frac{5}{29} i

\frac{1}{3} (6 + x) - 5 = 12

4 (x + h)^{2} - 2 (x + h) - (4 x^{2} - 2 x)

- x^{2} - 8 x - 12

(- \frac{1}{5})^{2}

210