document.write( "Question 302079: Find two possitive numbers that differ by 2 and have a product of 20. I am looking for an answer involving \"+/- the square root of 21\". \n" ); document.write( "
Algebra.Com's Answer #216601 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! a-b=2 \n" ); document.write( "a*b=20 \n" ); document.write( "a=b+2 \n" ); document.write( "(b+2)*b=20 \n" ); document.write( "b^2+2b-20=0 \n" ); document.write( "complete the square \n" ); document.write( "(b+1)^2=21 \n" ); document.write( "your +- sqrt(21) is close. \n" ); document.write( "b+1=+-sqrt(21) \n" ); document.write( "b=-1+-sqrt(21) \n" ); document.write( " \n" ); document.write( " |