What is ((5+6i))/((6-5i)) ?

The solution to ((5+6i))/((6-5i)) is i

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simplify ((5+6i))/((6-5i))

simplify

\frac{( 5 + 6 i )}{( 6 - 5 i )}

i

Solution steps

\frac{5 + 6 i}{6 - 5 i}

Multiply by the conjugate

\frac{6 + 5 i}{6 + 5 i}

= \frac{( 5 + 6 i ) ( 6 + 5 i )}{( 6 - 5 i ) ( 6 + 5 i )}

Simplify

\frac{( 5 + 6 i ) ( 6 + 5 i )}{( 6 - 5 i ) ( 6 + 5 i )} : \frac{61 i}{61}

= \frac{61 i}{61}

Cancel the common factor:

61

= i

4 u + 2 \geq 10

14 (3)

e^{(\frac{πi}{2})}

5 x^{2} + 9 x - 2