document.write( "Question 820018: [ Simplify: (6+i)/(1+4i) ] \n" ); document.write( "

Algebra.Com's Answer #493357 by TimothyLamb(4379) $\"\"$ $\"About$

You can put this solution on YOUR website!
---
\n" ); document.write( "(6 + i)/(1 + 4i)
\n" ); document.write( "---
\n" ); document.write( "quotient of two complex numbers:
\n" ); document.write( "(6 + i)/(1 + 4i)
\n" ); document.write( "(6 + i)(1 - 4i)/(1 + 4i)(1 - 4i)
\n" ); document.write( "(6 - 24i + i - 4ii)/(1 - 4i + 4i - 16ii)
\n" ); document.write( "---
\n" ); document.write( "recall: ii = -1
\n" ); document.write( "---
\n" ); document.write( "(10 - 23i)/(17)
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "(10/17) - (23/17)i
\n" ); document.write( "---
\n" ); document.write( "Solve and graph linear equations:
\n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve quadratic equations, quadratic formula:
\n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables:
\n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "

\n" );