document.write( "Question 163137: Hi, this is the problem I was told to do:\r
\n" ); document.write( "\n" ); document.write( "[SQRT(2x + 2)] - [SQRT(x - 3)] = 2
\n" ); document.write( "or
\n" ); document.write( "√(2x+2) - √(x-3) = 2\r
\n" ); document.write( "\n" ); document.write( "I've been told to FOIL this problem, but I don't understand how to FOIL it if its subtracting and not multiplying. What I do know is that the answer is equal to 7.
\n" ); document.write( "Thanks in advance.
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Algebra.Com's Answer #854440 by MathTherapy(10858)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi, this is the problem I was told to do:\r\n" );
document.write( "\r\n" );
document.write( "[SQRT(2x + 2)] - [SQRT(x - 3)] = 2\r\n" );
document.write( "or\r\n" );
document.write( "√(2x+2) - √(x-3) = 2\r\n" );
document.write( "\r\n" );
document.write( "I've been told to FOIL this problem, but I don't understand how to FOIL it if its subtracting and not\r\n" );
document.write( "multiplying. What I do know is that the answer is equal to 7.\r\n" );
document.write( "Thanks in advance.\r\n" );
document.write( "*****************\r\n" );
document.write( "      \"sqrt%282x+%2B+2%29+-+sqrt%28x+-+3%29+=+2\"\r\n" );
document.write( "This might be easier and less confusing if one of the radicals is moved to the right side. So, let's choose \"-+sqrt%28x+-+3%29\" to do that with. \r\n" );
document.write( "                    \"sqrt%282x+%2B+2%29+=+2+%2B+sqrt%28x+-+3%29\" ----- Adding  \"sqrt%28x+-+3%29\" to both sides\r\n" );
document.write( "               \"%28sqrt%282x+%2B+2%29%29%5E2+=+%282+%2B+sqrt%28x+-+3%29%29%5E2\" -- Squaring both sides\r\n" );
document.write( "               \"%28sqrt%282x+%2B+2%29%29%5E2+=+%282+%2B+sqrt%28x+-+3%29%29%282+%2B+sqrt%28x+-+3%29%29\" \r\n" );
document.write( "                        \"2x+%2B+2+=+4+%2B+2sqrt%28x+-+3%29+%2B+2sqrt%28x+-+3%29+%2B+%28sqrt%28x+-+3%29%29%5E2\" ---- FOILing right-side\r\n" );
document.write( "                        \"2x+%2B+2+=+4+%2B+4sqrt%28x+-+3%29+%2B+x+-+3\"\r\n" );
document.write( "                        \"2x+%2B+2+=+1+%2B+4sqrt%28x+-+3%29+%2B+x\"\r\n" );
document.write( "             \"2x+%2B+2+-+1+-+x+=+4sqrt%28x+-+3%29\"\r\n" );
document.write( "                          \"x+%2B+1+=+4sqrt%28x+-+3%29\"\r\n" );
document.write( "                      \"%28x+%2B+1%29%5E2+=+%284sqrt%28x+-+3%29%29%5E2\" ---- Squaring both sides\r\n" );
document.write( "                 \"x%5E2+%2B+2x+%2B+1+=+16%28x+-+3%29\"\r\n" );
document.write( "                 \"x%5E2+%2B+2x+%2B+1+=+16x+-+48\"\r\n" );
document.write( "\"x%5E2+%2B+2x+%2B+1+-+16x+%2B+48+=+0\"\r\n" );
document.write( "            \"x%5E2+-+14x+%2B+49+=+0\"\r\n" );
document.write( "                     \"%28x+-+7%29%5E2+=+0\"\r\n" );
document.write( "                          x - 7 = 0___x = 7\r\n" );
document.write( "\r\n" );
document.write( "             You can do the CHECK!!
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