document.write( "Question 697653: how would you solve the following equations? Show different ways to solve each.
\n" ); document.write( "1. cuberoot of x-5=squareroot of 3
\n" ); document.write( "2.3 over squareroot of x-3=4 over squareroot of 2x+3
\n" ); document.write( "3. 4throot 2x-5=squareroot of x+1
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Algebra.Com's Answer #430267 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
1. \r
\n" ); document.write( "\n" ); document.write( "\"%28x-5%29%5E%281%2F3%29=+3%5E%281%2F2%29\"....both side raise to power of \"3\"\r
\n" ); document.write( "\n" ); document.write( "\"%28root%283%2C%28x-5%29%29%29%5E3=+%28sqrt%283%29%29%5E3\"\r
\n" ); document.write( "\n" ); document.write( "\"x-5=+%28sqrt%283%29%29%5E2%2Asqrt%283%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x-5=+3%2Asqrt%283%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=+3%2A1.73%2B5\"\r
\n" ); document.write( "\n" ); document.write( "\"x=+5.19%2B5\"\r
\n" ); document.write( "\n" ); document.write( "\"x=+10.19\"\r
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\n" ); document.write( "\n" ); document.write( "2.\r
\n" ); document.write( "\n" ); document.write( "\"3%2Fsqrt%28x-3%29%29=4%2Fsqrt%282x%2B3%29\"......cross multiply\r
\n" ); document.write( "\n" ); document.write( "\"3sqrt%282x%2B3%29=4sqrt%28x-3%29\"...both side raise to power of \"2\"\r
\n" ); document.write( "\n" ); document.write( "\"3%5E2%28sqrt%282x%2B3%29%29%5E2=4%5E2%28sqrt%28x-3%29%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"9%282x%2B3%29=16%28x-3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"18x%2B27=16x-48\"\r
\n" ); document.write( "\n" ); document.write( "\"18x-16x=-48-27\"\r
\n" ); document.write( "\n" ); document.write( "\"2x=-75\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-75%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-37.5\"\r
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\n" ); document.write( "\n" ); document.write( "3.
\n" ); document.write( "\"root%284%2C%282x-5%29%29=sqrt%28x%2B1%29\"....both side raise to power of \"4\"\r
\n" ); document.write( "\n" ); document.write( "\"%28root%284%2C%282x-5%29%29%29%5E4=%28sqrt%28x%2B1%29%29%5E4\"\r
\n" ); document.write( "\n" ); document.write( "\"2x-5=%28x%2B1%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"2x-5=x%5E2%2B2x%2B1\"\r
\n" ); document.write( "\n" ); document.write( "\"-5-1=x%5E2%2B2x-2x\"\r
\n" ); document.write( "\n" ); document.write( "\"-6=x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28-6%29=x\"\r
\n" ); document.write( "\n" ); document.write( "\"x=2.45i\" or \"x=-2.45i\"
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