document.write( "Question 1019755: Solve for x, check for any extraneous solutions.
\n" ); document.write( "2x^(3/2) -8=46\r
\n" ); document.write( "\n" ); document.write( "I tried solving this problem where it is 54 ^2/3. I put this in the calculator and it didn't turn out as a whole number. Is it still correct or did I do something wrong?
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Algebra.Com's Answer #635696 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "You did something wrong.\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2C2x%5E%283%2F2%29+-8=46%29\"\r\n" );
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document.write( "Add 8 to both sides:\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2C2x%5E%283%2F2%29=54%29\"\r\n" );
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document.write( "Divide both sides by 2\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2Cx%5E%283%2F2%29+=27%29\"\r\n" );
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document.write( "We want to get x to the 1 power, so to do that,\r\n" );
document.write( "we raise both sides to the reciprocal of \"3%2F2\"\r\n" );
document.write( "power, which is the \"2%2F3\" power.  So we raise\r\n" );
document.write( "both sides to the \"2%2F3\" power.\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2C%28x%5E%283%2F2%29%29%5E%282%2F3%29+=27%5E%282%2F3%29%29\"\r\n" );
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document.write( "Multiply the exponents to remove the parentheses on\r\n" );
document.write( "the left.  Multiplying \"expr%283%2F2%29%2Aexpr%282%2F3%29=1\"\r\n" );
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document.write( "On the right use the principle \"matrix%282%2C1%2C%22%22%2CA%5E%28B%2FC%29+=%28root%28C%2CA%29%29%5EB%29\"\r\n" );
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document.write( "\"x%5E1+=%28root%283%2C27%29%29%5E2\"\r\n" );
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document.write( "\"x+=+3%5E2\"\r\n" );
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document.write( "\"x=9\" \r\n" );
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document.write( "Edwin
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