document.write( "Question 924875: please help me..........
\n" ); document.write( "if(a+b)^2=9 and (a-b)^2=49,what is the value of a^2+b^2
\n" ); document.write( "

Algebra.Com's Answer #561141 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"%28a%2Bb%29%5E2=9\" and \"%28a-b%29%5E2=49\": find \"a\" and \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"%28a%2Bb%29%5E2=9\" ...sqrt of both sides\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28%28a%2Bb%29%5E2%29=sqrt%289%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a%2Bb=3\" ...solve for \"a\"\r
\n" ); document.write( "\n" ); document.write( "\"a=3-b\" ....eq.1\r
\n" ); document.write( "\n" ); document.write( "\"%28a-b%29%5E2=49\"\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28%28a-b%29%5E2%29=sqrt%2849%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a-b=7\" ...solve for \"a\"\r
\n" ); document.write( "\n" ); document.write( "\"a=7%2Bb\" ...eq.2\r
\n" ); document.write( "\n" ); document.write( "from eq.1 and eq.2 => \"3-b=7%2Bb\"...solve for \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"3-7=b%2Bb\"
\n" ); document.write( "\"-4=2b\"
\n" ); document.write( "\"-4%2F2=b\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28b=-2%29\"\r
\n" ); document.write( "\n" ); document.write( "now find \"a\"\r
\n" ); document.write( "\n" ); document.write( "\"a=7%2Bb\" ...eq.2\r
\n" ); document.write( "\n" ); document.write( "\"a=7%2B%28-2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a=7-2\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28a=5%29\"
\n" ); document.write( "
\n" ); document.write( "the value of \"a%5E2%2Bb%5E2=5%5E2%2B%28-2%29%5E2=25%2B4=29\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );