document.write( "Question 265331: the squareroot of -12 + 2x = the squareroot of 3x+23
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Algebra.Com's Answer #854016 by ikleyn(53742) $\"\"$ $\"About$

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\n" ); document.write( "the squareroot of -12 + 2x = the squareroot of 3x+23
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\n" ); document.write( "\n" ); document.write( " The solution in the post by @mananth is fatally wrong.\r
\n" ); document.write( "\n" ); document.write( " See my correct solution below.\r
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document.write( "Our starting equation is\r\n" );
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document.write( "     = .\r\n" );
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document.write( "Take the square on both sides of the equation\r\n" );
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document.write( "    2x - 12  = 3x + 23\r\n" );
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document.write( "    -12 - 23 = 3x - 2x\r\n" );
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document.write( "       x    =    -35\r\n" );
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document.write( "But x = -35 makes the expression  2x-12  negative under the square root in the left side of the original equation.\r\n" );
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document.write( "So, we conclude that given equation has no real solution.\r\n" );
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