document.write( "Question 842990: Find all pairs (a,b) such that 2a+b=12 and ab=3 \n" ); document.write( "

Algebra.Com's Answer #507802 by josgarithmetic(39617) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"b=12-2a\"$ ;
\n" ); document.write( "-
\n" ); document.write( " $\"ab=a%2812-2a%29=3\"$
\n" ); document.write( " $\"12a-2a%5E2=3\"$
\n" ); document.write( " $\"-2a%5E2%2B12a-3=0\"$
\n" ); document.write( " $\"2a%5E2-12a%2B3=0\"$
\n" ); document.write( "-
\n" ); document.write( "-
\n" ); document.write( " $\"Discriminant=144-4%2A2%2A3=144-24\"$
\n" ); document.write( " $\"Discriminant=120\"$
\n" ); document.write( "-
\n" ); document.write( " $\"a=%2812%2B-+sqrt%28120%29%29%2F4\"$
\n" ); document.write( " $\"a=%2812%2B-+2sqrt%2830%29%29%2F%282%2A2%29\"$
\n" ); document.write( " $\"a=%286%2B-+sqrt%2830%29%29%2F2\"$
\n" ); document.write( " $\"highlight%28a=3%2B-+%281%2F2%29sqrt%2830%29%29\"$
\n" ); document.write( "-
\n" ); document.write( "Use the found values for a to find that of b. Start with b=12-2a. You COULD use ab=3 if you want; which way is YOUR choice. \n" ); document.write( "

\n" );