document.write( "Question 129655: we are to solve the following algebraically. I am not sure how to type this out for you but It is a fraction, so there is no division.\r
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\n" ); document.write( "\n" ); document.write( "A) 1/4=3-2x-1/x+2 The work I have done on it is 1/4=3/1-2x-1/x+2 =
\n" ); document.write( " 1/4=(3/1)(x+2/x+2)-2x-1/x+2 = 3x+6/x+2-2x-1/x+2 1/4 = x+5/x+2 \r
\n" ); document.write( "\n" ); document.write( "B)x^3/2=125\r
\n" ); document.write( "\n" ); document.write( "c) 3 cuberoot of x-4=2
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Algebra.Com's Answer #94720 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
we are to solve the following algebraically. I am not sure how to type this out for you but It is a fraction, so there is no division.
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document.write( "A) \"1%2F4=%283%28x%2B2%29%29%2F%281%28x%2B2%29%29-+%282x-1%29%2F%28x%2B2%29\" \r\n" );
document.write( "   \"1%2F4=%283x%2B6%29%2F%28x%2B2%29-%282x-1%29%2F%28x%2B2%29\"\r\n" );
document.write( "   \"1%2F4=%28%283x%2B6%29-%282x-1%29%29%2F%28x%2B2%29\"\r\n" );
document.write( "   \"1%2F4=%283x%2B6-2x%2B1%29%2F%28x%2B2%29\"\"1%2F4=3-%282x-1%29%2F%28x%2B2%29\"    \r\n" );
document.write( "   \"1%2F4=3%2F1-%282x-1%29%2F%28x%2B2%29\" \r\n" );
document.write( "   \"1%2F4=%28x%2B7%29%2F%28x%2B2%29\"\r\n" );
document.write( "  \r\n" );
document.write( "You almost made it to here, but you missed a sign\r\n" );
document.write( "by skipping a step, causing you to get a 5 where there \r\n" );
document.write( "should be a 7. \r\n" );
document.write( "\r\n" );
document.write( "Now enclose both sides in parentheses:\r\n" );
document.write( "\r\n" );
document.write( "   \"%281%2F4%29=%28%28x%2B7%29%2F%28x%2B2%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "Now multiply both sides by LCD = \"4%28x%2B2%29\" or \"%28%284%28x%2B2%29%29%2F1%29\"\r\n" );
document.write( "\r\n" );
document.write( "   \r\n" );
document.write( "\r\n" );
document.write( "Cancel:\r\n" );
document.write( "\r\n" );
document.write( "   \r\n" );
document.write( " \r\n" );
document.write( "        \"x%2B2+=+4%28x%2B7%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"x%2B2=4x%2B28\"\r\n" );
document.write( "\r\n" );
document.write( "\"x-4x=28-2\"\r\n" );
document.write( "\r\n" );
document.write( "\"-3x+=+26\"\r\n" );
document.write( "\r\n" );
document.write( "\"x+=+-26%2F3\"\r\n" );
document.write( "\r\n" );
document.write( "---------------------\r\n" );
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document.write( "Although the above method is correct, it is\r\n" );
document.write( "not the normal way to do it.  You begin by\r\n" );
document.write( "multiplying through by the LCD, not waiting\r\n" );
document.write( "until later, as you did above. Here is how\r\n" );
document.write( "it is normally done:\r\n" );
document.write( "\r\n" );
document.write( "Do the first two steps as you did above:\r\n" );
document.write( "\r\n" );
document.write( "   \"1%2F4=3-%282x-1%29%2F%28x%2B2%29\"    \r\n" );
document.write( "   \"1%2F4=3%2F1-%282x-1%29%2F%28x%2B2%29\" \r\n" );
document.write( "\r\n" );
document.write( "Now enclose every term in parentheses:\r\n" );
document.write( "\r\n" );
document.write( "   \"%281%2F4%29=%283%2F1%29-%28%282x-1%29%2F%28x%2B2%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "Multiply every term on both sides by the \r\n" );
document.write( "LCD = \"4%28x%2B2%29\" or \"+%28+%284%28x%2B2%29+%29%2F1%29+\"\r\n" );
document.write( "\r\n" );
document.write( "   \r\n" );
document.write( "\r\n" );
document.write( "Cancel:\r\n" );
document.write( "\r\n" );
document.write( "   \r\n" );
document.write( "\r\n" );
document.write( "   \"x%2B2=4%2A%28x%2B2%29%2A3+-+4%2A%282x-1%29\"\r\n" );
document.write( "   \"x%2B2=12%28x%2B2%29+-+4%2A%282x-1%29\"\r\n" );
document.write( "   \"x%2B2=12x%2B24+-+8x%2B4%29\"\r\n" );
document.write( "   \"x%2B2=4x%2B28\"\r\n" );
document.write( "   \"x-4x=28-2\"\r\n" );
document.write( "   \"-3x=26\"\r\n" );
document.write( "   \"x=-26%2F3\"\r\n" );
document.write( "\r\n" );
document.write( "   \r\n" );
document.write( "B)\"x%5E%283%2F2%29=125\"\r\n" );
document.write( "\r\n" );
document.write( "Enclose both sides in parentheses:\r\n" );
document.write( "\r\n" );
document.write( "   \"%28x%5E%283%2F2%29%29=%28125%29\"\r\n" );
document.write( "\r\n" );
document.write( "Raise both sides to the reciprocal of \"3%2F2\" power,\r\n" );
document.write( "which is the \"2%2F3\" power:\r\n" );
document.write( "\r\n" );
document.write( "   \"%28x%5E%283%2F2%29%29%5E%282%2F3%29=%28125%29%5E%282%2F3%29\"\r\n" );
document.write( "\r\n" );
document.write( "Multiply exponents on the left, \"+%283%2F2%29%282%2F3%29+\" = \"1\"\r\n" );
document.write( "\r\n" );
document.write( "Write the right side using the rule \"A%5E%28B%2FC%29=+%28root%28C%2CA%29%29%5EB+\"\r\n" );
document.write( "\r\n" );
document.write( "   \"x%5E1+=+%28root%283%2C125%29%29%5E2+\"\r\n" );
document.write( "\r\n" );
document.write( "Since the cube root of 125 is 5, we have:\r\n" );
document.write( "\r\n" );
document.write( "   \"x+=+%285%29%5E2\"\r\n" );
document.write( "\r\n" );
document.write( "   \"x+=+25\"\r\n" );
document.write( "\r\n" );
document.write( "------------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "c) \"3%2Aroot%283%2Cx-4%29=2\" \r\n" );
document.write( "\r\n" );
document.write( "Enclose both sides in parentheses:\r\n" );
document.write( "\r\n" );
document.write( "   \"%283%2Aroot%283%2Cx-4%29%29=%282%29\"\r\n" );
document.write( "\r\n" );
document.write( "Cube both sides:\r\n" );
document.write( "\r\n" );
document.write( "   \"%283%2Aroot%283%2Cx-4%29%29%5E3=%282%29%5E3\"\r\n" );
document.write( "\r\n" );
document.write( "   \"%283%5E3%29%28root%283%2Cx-4%29%29%5E3=8\"\r\n" );
document.write( "\r\n" );
document.write( "   \"%2827%29%28root%283%2Cx-4%29%29%5E3=8\"\r\n" );
document.write( "\r\n" );
document.write( "When you cube a cube root you take away\r\n" );
document.write( "the radical:\r\n" );
document.write( "\r\n" );
document.write( "   \"%2827%29%28x-4%29=8\"\r\n" );
document.write( "\r\n" );
document.write( "   \"27x-108=8\"\r\n" );
document.write( "\r\n" );
document.write( "   \"27x=8%2B108\"\r\n" );
document.write( "\r\n" );
document.write( "   \"27x+=+116\"\r\n" );
document.write( "\r\n" );
document.write( "   \"x=116%2F27\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
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