document.write( "Question 156055This question is from textbook Algebra for College Students
\n" );
document.write( ": More missing numbers. The sum of two numbers is 6.5, and their product is 9. Find the numbers. \n" );
document.write( "
Algebra.Com's Answer #115045 by edjones(8007)![]() ![]() You can put this solution on YOUR website! x) a+b=6.5 \n" ); document.write( "y) ab=9 \n" ); document.write( ". \n" ); document.write( "x) a=6.5-b \n" ); document.write( "y) \n" ); document.write( "b(6.5-b)=9 \n" ); document.write( "6.5b-b^2=9 \n" ); document.write( "-b^2+6.5b-9=0 \n" ); document.write( "b^2-6.5b+9=0 \n" ); document.write( "b^2-6.5 =-9 \n" ); document.write( "b^2-6.5+10.5625=-9+10.5625 Completing the square \n" ); document.write( "(b^2-3.25)^2=1.5625 \n" ); document.write( "b-3.25=+-1.25 square root of both sides. \n" ); document.write( "b=3.25+-1.25 \n" ); document.write( "b=4.5, b=2 \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " \n" ); document.write( " |