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Popular >

simplify 4/(2-3i)

Solution

simplify

\frac{4}{2 - 3 i}

Solution

\frac{8}{13} + \frac{12}{13} i

Solution steps

\frac{4}{2 - 3 i}

Multiply by the conjugate

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

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

Simplify

\frac{4 ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )} : \frac{8 + 12 i}{13}

= \frac{8 + 12 i}{13}

Rewrite in standard complex form:

\frac{8}{13} + \frac{12}{13} i

= \frac{8}{13} + \frac{12}{13} i

Popular Examples

9(x+1)=4-2(9x+5)

9 (x + 1) = 4 - 2 (9 x + 5)

simplify (5-6i)-(2-7i)simplify

(5 - 6 i) - (2 - 7 i)

- 5 x + 12 = - 12 x + 10

factor u^2-5u-36 factor

u^{2} - 5 u - 36

x/9 = 4/45+x/(10)

\frac{x}{9} = \frac{4}{45} + \frac{x}{10}

Frequently Asked Questions (FAQ)

What is 4/(2-3i) ?
The solution to 4/(2-3i) is 8/13+12/13 i