document.write( "Question 1192222: Simplify √(3x + 4) - √(x+5) = 1 \n" ); document.write( "
Algebra.Com's Answer #824124 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"sqrt%283x+%2B+4%29+-+sqrt%28x%2B5%29+=+1++\"\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28x+%2B+5%29+%2B+1+=+sqrt%283+x+%2B+4%29\"\r
\n" ); document.write( "\n" ); document.write( "\"%28sqrt%28x+%2B+5%29+%2B+1%29%5E2+=+%28sqrt%283+x+%2B+4%29%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"x+%2B+2sqrt%28x+%2B+5%29+%2B+6=3x+%2B+4\"\r
\n" ); document.write( "\n" ); document.write( " \"2sqrt%28x+%2B+5%29+=3x-x+%2B+4-6\"\r
\n" ); document.write( "\n" ); document.write( "\"2sqrt%28x+%2B+5%29+=2x+-2\"\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28x+%2B+5%29+=x+-1\"\r
\n" ); document.write( "\n" ); document.write( "\"%28sqrt%28x+%2B+5%29%29%5E2+=%28x+-1%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"x+%2B+5+=x%5E2+-2x%2B1\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+-2x%2B1-x-5=0\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+-3x-4=0\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+-3x-4=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x+-+4%29+%28x+%2B+1%29+=+0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "solutions:
\n" ); document.write( "\"x=4\"
\n" ); document.write( "\"x=-1\"\r
\n" ); document.write( "\n" ); document.write( "verify solutions:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%283%284%29+%2B+4%29+-+sqrt%284%2B5%29=1\"
\n" ); document.write( "\"sqrt%2816%29+-+sqrt%289%29=1+\"
\n" ); document.write( "\"4+-+3=1\"
\n" ); document.write( "\"1=1\" ->true\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%283%28-1%29+%2B+4%29+-+sqrt%28-1%2B5%29=1+\"
\n" ); document.write( "\"sqrt%281%29+-+sqrt%284%29=1+\"
\n" ); document.write( "\"1+-+2=1+\"
\n" ); document.write( "\"-1=1+\"-> not true=> so, x=-1 is not a solution\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the solution is: \"x=4\"\r
\n" ); document.write( "\n" ); document.write( "
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