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Popular >

simplify 7/(4-9i)

Solution

simplify

\frac{7}{4 - 9 i}

Solution

\frac{28}{97} + \frac{63}{97} i

Solution steps

\frac{7}{4 - 9 i}

Multiply by the conjugate

\frac{4 + 9 i}{4 + 9 i}

= \frac{7 ( 4 + 9 i )}{( 4 - 9 i ) ( 4 + 9 i )}

Simplify

\frac{7 ( 4 + 9 i )}{( 4 - 9 i ) ( 4 + 9 i )} : \frac{28 + 63 i}{97}

= \frac{28 + 63 i}{97}

Rewrite in standard complex form:

\frac{28}{97} + \frac{63}{97} i

= \frac{28}{97} + \frac{63}{97} i

Popular Examples

z^{2} - 6 z + 9 = - 4

factor-4x^2+36 factor

- 4 x^{2} + 36

factor x^3-x^2+x+3 factor

x^{3} - x^{2} + x + 3

2/7 (665/666)+1/9 = 12/5 (668/666)-14/7

\frac{2}{7} (\frac{665}{666}) + \frac{1}{9} = \frac{12}{5} (\frac{668}{666}) - \frac{14}{7}

factor 3x^2-7x+2 factor

3 x^{2} - 7 x + 2

Frequently Asked Questions (FAQ)

What is 7/(4-9i) ?
The solution to 7/(4-9i) is 28/97+63/97 i