document.write( "Question 729072: square root of x+7=square root of 2x-3 (+2) not under the square root) \n" ); document.write( "
Algebra.Com's Answer #853827 by MathTherapy(10719)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "square root of x+7=square root of 2x-3    (+2) not under the square root)\r\n" );
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document.write( "I don't know what \"X=507+338√2 ≈985.0042 from @lynnlo(4176) is all about.\r\n" );
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document.write( "square root of x+7=square root of 2x-3    (+2) not under the square root)\r\n" );
document.write( "              \"sqrt%28x+%2B+7%29+=+sqrt%282x+-+3%29+%2B+2\"\r\n" );
document.write( "            \"%28sqrt%28x+%2B+7%29%29%5E2+=+%28sqrt%282x+-+3%29+%2B+2%29%5E2\" --- Squaring both sides\r\n" );
document.write( "                \"x+%2B+7+=+2x+-+3+%2B+4sqrt%282x+-+3%29+%2B+4\" \r\n" );
document.write( "                \"x+%2B+7+=+2x+%2B+4sqrt%282x+-+3%29+%2B+1\"\r\n" );
document.write( "         \"x+%2B+7+-+2x+-+1+=+4sqrt%282x+-+3%29\"\r\n" );
document.write( "              \"-+x+%2B+6+=+4sqrt%282x+-+3%29\"\r\n" );
document.write( "            \"%28-+x+%2B+6%29%5E2+=+%284sqrt%282x+-+3%29%29%5E2\" ----- Squaring both sides\r\n" );
document.write( "         \"x%5E2+-+12x+%2B+36+=+16%282x+-+3%29\"\r\n" );
document.write( "         \"x%5E2+-+12x+%2B+36+=+32x+-+48\"\r\n" );
document.write( "\"x%5E2+-+12x+%2B+36+-+32x+%2B+48+=+0\"\r\n" );
document.write( "         \"x%5E2+-+44x+%2B+84+=+0\"\r\n" );
document.write( "     (x - 42)(x - 2) = 0\r\n" );
document.write( "      x - 42 = 0      OR     x - 2 = 0\r\n" );
document.write( "           x = 42     OR         x = 2\r\n" );
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document.write( "However, x = 42 is an EXTRANEOUS solution, so ONLY solution is: x = 2
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