document.write( "Question 934064: solve by using the square root property.\r
\n" ); document.write( "\n" ); document.write( "(2k - 5)^2 = 16 \n" ); document.write( "

Algebra.Com's Answer #567251 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%282k+-+5%29%5E2+=+16\"$
\n" ); document.write( "find the square root of both sides
\n" ); document.write( " $\"2k+-+5\"$ = +/- $\"sqrt%2816%29\"$
\n" ); document.write( "2k - 5 = +/-4
\n" ); document.write( "two solutions
\n" ); document.write( "2k = +4 + 5
\n" ); document.write( "2k = 9
\n" ); document.write( "k = 4.5
\n" ); document.write( "and
\n" ); document.write( "2k = -4 + 5
\n" ); document.write( "2k = 1
\n" ); document.write( "k = .5
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check both solutions in the original equation
\n" ); document.write( "(2(4.5) - 5)^2 = 16
\n" ); document.write( "(9-5)^2 = 16
\n" ); document.write( "4^2 = 16
\n" ); document.write( "and
\n" ); document.write( "(2(.5)-5)^2 = 16
\n" ); document.write( "(1 - 5)^2 = 16
\n" ); document.write( "(-4)^2 = 16\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );