document.write( "Question 881507: Find all real solutions of the equation.\r
\n" ); document.write( "\n" ); document.write( "sqrt(r)+ sqrt(r+8)=6\r
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\n" ); document.write( "\n" ); document.write( "I'm lost. I've gotten to r=36-4sqrt(r+2) + (r+2) and I'm not even sure I'm going in the right direction. \r
\n" ); document.write( "\n" ); document.write( "Thanks!
\n" ); document.write( "Alicia
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Algebra.Com's Answer #532283 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
You will need to square both sides TWICE.\r
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\n" ); document.write( "\n" ); document.write( "More than one way to solve, but here is maybe the easier way:\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28r%29-6%2Bsqrt%28r%2B8%29=6-6\"
\n" ); document.write( "\"sqrt%28r%29-6%2Bsqrt%28r%2B8%29-sqrt%28r%2B8%29=0-sqrt%28r%2B8%29\"
\n" ); document.write( "\"sqrt%28r%29-6=-sqrt%28r%2B8%29\"
\n" ); document.write( "Square both sides.
\n" ); document.write( "\"r-2%2A6%2Asqrt%28r%29%2B36=r%2B8\"
\n" ); document.write( "\"-12sqrt%28r%29%2B36=8\"
\n" ); document.write( "\"-12sqrt%28r%29=8-36\"
\n" ); document.write( "\"-12sqrt%28r%29=-28\"
\n" ); document.write( "Squ.................. not yet.
\n" ); document.write( "\"sqrt%28r%29=-28%2F%28-12%29\"
\n" ); document.write( "\"sqrt%28r%29=7%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28r=49%2F9%29\"\r
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\n" ); document.write( "\n" ); document.write( "CHECK:
\n" ); document.write( "\"sqrt%28r%29%2B+sqrt%28r%2B8%29=6\"
\n" ); document.write( "\"sqrt%2849%2F9%29%2Bsqrt%2849%2F9%2B8%29=6\"
\n" ); document.write( "\"7%2F3%2Bsqrt%28%2849%2B72%29%2F9%29=67%2F3%2Bsqrt%28121%2F9%29=6\"
\n" ); document.write( "\"7%2F3%2B11%2F3=6\"
\n" ); document.write( "\"18%2F3=6\" YES.
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