document.write( "Question 1042927: What value of x will satisfy this equation $\"sqrt%282x%29%2B4=x\"$ \n" ); document.write( "

Algebra.Com's Answer #657997 by ikleyn(52797) $\"\"$ $\"About$

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\n" ); document.write( "What value of x will satisfy this equation $\"sqrt%282x%29%2B4=x\"$
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\n" ); document.write( "\n" ); document.write( "Answer. x = 8.\r
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document.write( " =   --->   =   --->  square both sides --->\r\n" );
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document.write( "2x =   --->  2x =   --->   =   --->  factor left side --->\r\n" );
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document.write( "(x-2)*(x-8) = 0.\r\n" );
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document.write( "The roots are x = 2 and x = 8.\r\n" );
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document.write( "The root x = 8 satisfies the original equation.\r\n" );
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document.write( "The root x = 2 does not satisfy the original equation. It is an extraneous solution.\r\n" );
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