document.write( "Question 92642: I think I'm being asked to complete the square:\r
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document.write( "w(6w+5)=4 \n" );
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Algebra.Com's Answer #67462 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! w(6w+5)=4 \n" ); document.write( ": \n" ); document.write( "6w^2 + 5w + ___ = 4 \n" ); document.write( ": \n" ); document.write( "We want the coefficient of w^2 to be 1, divide each term by 6 \n" ); document.write( "w^2 + (5/6)w + ___ = 4/6 \n" ); document.write( ": \n" ); document.write( "Complete the square \n" ); document.write( "w^2 + (5/6)w + (25/144) = 4/6 + (25/144): 1/2 of (5/6)^2 = 25/144 \n" ); document.write( ": \n" ); document.write( "(w + 5/12)^2 = (96/144) + (25/144) \n" ); document.write( ": \n" ); document.write( "(w + 5/12)^2 = 121/144 \n" ); document.write( ": \n" ); document.write( "w + (5/12) = +/- Sqrt(121/144); a perfect square! \n" ); document.write( ": \n" ); document.write( "w + (5/12) = +/- (11/12) \n" ); document.write( ": \n" ); document.write( "Two solutions: \n" ); document.write( "w = -(5/12) + (11/12) \n" ); document.write( "w = +(6/12) \n" ); document.write( "w = +1/2 \n" ); document.write( "and \n" ); document.write( "w = -(5/12) - (11/12) \n" ); document.write( "w = -(16/12) \n" ); document.write( "w = -(4/3) \n" ); document.write( ": \n" ); document.write( "Did this help? \n" ); document.write( " |