document.write( "Question 1076467: Let r and s be the roots of y^2 - 19y + 7. Find (r-2)(s-2).
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #691079 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
y^2 -19y + 7 = 0
\n" ); document.write( ":
\n" ); document.write( "complete the square
\n" ); document.write( ":
\n" ); document.write( "y^2 -19y +(361/4) = -(28/4) +(361/4)
\n" ); document.write( ":
\n" ); document.write( "(y -19/2)^2 = 333/4
\n" ); document.write( ":
\n" ); document.write( "y = (19/2) +(square root(333)/2) = (37.2463/2) = 18.6231
\n" ); document.write( ":
\n" ); document.write( "y = (19/2) -(square root(333)/2) = (.7537/2) = .3768
\n" ); document.write( ":
\n" ); document.write( "let r = 18.6231 and s = .3768
\n" ); document.write( ":
\n" ); document.write( "**********************************************
\n" ); document.write( "(r-2)(s-2) = (18.6231-2)(.3768-2) = −26.9826
\n" ); document.write( "**********************************************
\n" ); document.write( ":
\n" ); document.write( "
\n" ); document.write( "
\n" );