document.write( "Question 1089464: you multiply a number by the square root of that number. The cube of the result is 317 less than 20,000. what is the number? \n" ); document.write( "

Algebra.Com's Answer #703811 by ikleyn(52847) $\"\"$ $\"About$

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document.write( "Let \"x\" be the number under the question.\r\n" );
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document.write( "Then the condition says\r\n" );
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document.write( " = 20000 - 317,   or, which is the same,   x^(9/2) = 19683,   or\r\n" );
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document.write( " = .\r\n" );
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document.write( "It implies  = 3.\r\n" );
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document.write( "Hence,  x =  = 9.\r\n" );
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document.write( "Answer.  x = 9.\r\n" );
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document.write( "Check.   =  = 27  and   = 19683.  ! Correct !.\r\n" );
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