document.write( "Question 1006035: Please help solve this complex equation/fraction
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Algebra.Com's Answer #622172 by AnlytcPhil(1807)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Please note that -4i/2-3i means \"-4i%2F2-3i\", not \"-4i%2F%282-3i%29\"\r\n" );
document.write( "You MUST put parentheses around any numerator or denominator\r\n" );
document.write( "which contains more than one number or one letter to tell\r\n" );
document.write( "where it starts and ends.  I am quite sure you meant \"-4i%2F%282-3i%29\"\r\n" );
document.write( "and not \"-4i%2F2-3i\".  You should have typed -4i/(2-3i). \r\n" );
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document.write( "\"-4i%2F%282-3i%29\"\r\n" );
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document.write( "Multiply by the conjugate of the denominator\r\n" );
document.write( "written over itself:\r\n" );
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document.write( "\"-4i%2F%282-3i%29\"\"%22%D7%22\"\"%282%2B3i%29%2F%282%2B3i%29\"\r\n" );
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document.write( "Indicate the multiplication of the numerators and denominators:\r\n" );
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document.write( "\"%28-4i%282%2B3i%29%29%2F%28%282-3i%29%282%2B3i%29%29\"\r\n" );
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document.write( "Distribute the top and FOIL the bottom:\r\n" );
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document.write( "\"%28-8i-12i%5E2%29%2F%284%2B6i-6i-9i%5E2%29\"\r\n" );
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document.write( "Cancel the middle terms in the bottom:\r\n" );
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document.write( "\"%28-8i-12i%5E2%29%2F%284%2Bcross%286i%29-cross%286i%29-9i%5E2%29\"\r\n" );
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document.write( "\"%28-8i-12i%5E2%29%2F%284-9i%5E2%29\"\r\n" );
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document.write( "Since \"i%5E2=-1\" substitute (-1) for i2.\r\n" );
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document.write( "\"%28-8i-12%28-1%29%29%2F%284-9%28-1%29%29\"\r\n" );
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document.write( "Simplify the denominator:\r\n" );
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document.write( "\"%28-8i%2B12%29%2F%284%2B9%29\"\r\n" );
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document.write( "\"%28-8i%2B12%29%2F13\"\r\n" );
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document.write( "Write as the sum of two fractions:\r\n" );
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document.write( "\"%28-8i%29%2F13%2B12%2F13\"\r\n" );
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document.write( "Reverse the terms so the i term will be on the right:\r\n" );
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document.write( "\"12%2F13-%288i%29%2F13\"\r\n" );
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document.write( "Change the division of 8i by 13 as a multiplication\r\n" );
document.write( "of i by the fraction \"8%2F13\":\r\n" );
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document.write( "\"12%2F13-expr%288%2F13%29i\"\r\n" );
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document.write( "-------------------------------\r\n" );
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document.write( "Here's an easy way if you have a TI-83 or TI-84:\r\n" );
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document.write( "Make sure the calculator is in the mode to take\r\n" );
document.write( "complex numbers.  You can leave it set that way\r\n" );
document.write( "permanently, since it doesn't affect any of the\r\n" );
document.write( "other functions.  Press \"MODE\", scroll down to\r\n" );
document.write( "\"REAL\". Press the right arrow once to put the cursor\r\n" );
document.write( "on \"a+bi\" and press \"ENTER\", then press \"2ND\" \"MODE\".\r\n" );
document.write( "Now it is set to take complex numbers.  You'll never\r\n" );
document.write( "have to do that again.  The reason the TI company\r\n" );
document.write( "doesn't put it in that mode at the factory is because\r\n" );
document.write( "some people, like engineers, have hundreds and hundreds\r\n" );
document.write( "of stored programs in their calculator and the \"a+bi\" \r\n" );
document.write( "mode takes up a little more memory that those people\r\n" );
document.write( "might need for their programs. \r\n" );
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document.write( "Now\r\n" );
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document.write( "Press CLEAR\r\n" );
document.write( "Press -4i/(2-3i)   <-- the \"i\" is \"2ND\" then the decimal key. \r\n" );
document.write( "                  (the period or decimal key which is the \r\n" );
document.write( "                  middle key at the bottom of the keyboard)\r\n" );
document.write( "                  Be sure to put those parentheses around\r\n" );
document.write( "                  that denominator as you mistakenly forgot \r\n" );
document.write( "                  them above.\r\n" );
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document.write( "Press 2ND ENTER ENTER \r\n" );
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document.write( "read 12/13-8/13i\r\n" );
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document.write( "Edwin
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