document.write( "Question 428970: My problem is;
\n" ); document.write( "Solve by factoring and using the principle o zero products
\n" ); document.write( "49k^2=36\r
\n" ); document.write( "\n" ); document.write( "Thank you very much
\n" ); document.write( "

Algebra.Com's Answer #298039 by algebrahouse.com(1659)\"\" \"About 
You can put this solution on YOUR website!
\"My problem is;
\n" ); document.write( "Solve by factoring and using the principle o zero products
\n" ); document.write( "49k^2=36\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "49k^2 - 36 = 0 {subtracted 36 from both sides}\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "49k^2 - 36 is a difference of two squares, in the form a^2 - b^2,
\n" ); document.write( "it factors into the form (a + b)(a - b)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If a^2 is 49k^2, then a = 7k {square root of 49k^2}
\n" ); document.write( "If b^2 is 36, then b = 6 {square root of 36}\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "49k^2 - 36 = 0
\n" ); document.write( "(7k + 6)(7k - 6) = 0 {factored into two binomials}
\n" ); document.write( "7k + 6 = 0 or 7k - 6 = 0 {set each factor equal to 0}
\n" ); document.write( "7k = -6 or 7k = 6 {subtracted 6 and added 6, respectively}
\n" ); document.write( "k = -6/7 or k = 6/7 {divided both sides by 7}
\n" ); document.write( "www.algebrahouse.com\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );