document.write( "Question 1080407: How to solve x^1/2-x^1/4-6=0 by substitution? \n" ); document.write( "

Algebra.Com's Answer #694529 by ikleyn(52800) $\"\"$ $\"About$

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document.write( "Introduce new variable u = .\r\n" );
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document.write( "Then your original equation takes the form\r\n" );
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document.write( " = 0.\r\n" );
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document.write( "Factor left side:\r\n" );
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document.write( "(u-3)*(u+1) = 0.\r\n" );
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document.write( "Its roots are u= 3 and u= -2.\r\n" );
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document.write( "Since u = , you need only positive u = 3.\r\n" );
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document.write( "Then x =  = 81.\r\n" );
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document.write( "Answer.  x = 81.\r\n" );
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