What is (1+i)/(4-3i) ?

The solution to (1+i)/(4-3i) is 1/25+7/25 i

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simplify (1+i)/(4-3i)

simplify

\frac{1 + i}{4 - 3 i}

\frac{1}{25} + \frac{7}{25} i

Solution steps

\frac{1 + i}{4 - 3 i}

Multiply by the conjugate

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

= \frac{( 1 + i ) ( 4 + 3 i )}{( 4 - 3 i ) ( 4 + 3 i )}

Simplify

\frac{( 1 + i ) ( 4 + 3 i )}{( 4 - 3 i ) ( 4 + 3 i )} : \frac{1 + 7 i}{25}

= \frac{1 + 7 i}{25}

Rewrite in standard complex form:

\frac{1}{25} + \frac{7}{25} i

= \frac{1}{25} + \frac{7}{25} i

(y + x)^{2}

- 3 (x - 4) + 3 (a - 6)

6 \cdot 975

2 x (3 x)

81 y^{2} - 49