document.write( "Question 1083261: I just learned how to solve quadratic equations by completing the square and my book throws this doozy in a section called \"Challenge\", can this be solved by completing the square? Are there more than one way to solve it?\r
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document.write( "Solve for x in terms of a.\r
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document.write( "3x^2+ax^2=9x+9a \n" );
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Algebra.Com's Answer #697270 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! 3x^2+ax^2=9x+9a \n" ); document.write( "--- \n" ); document.write( "3x^2 + ax^2 - 9x = 9a \n" ); document.write( "(a+3)*x^2 - 9x = 9a \n" ); document.write( " \n" ); document.write( "b = 9/(a+3) \n" ); document.write( "Add (9/2(a+3))^2 = (81/4)/(a+3)^2 \n" ); document.write( "---- \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "------- \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "===================================== \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "--------------------------------- \n" ); document.write( "Very tedious. Mistakes are possible. \n" ); document.write( "=================== \n" ); document.write( "Any quadratic with real number coeffici3ents can be solved by completing the square. \n" ); document.write( "----------------------- \n" ); document.write( "Using the quadratic equation will work, too. \n" ); document.write( "===================================== \n" ); document.write( "I like the other tutor's approach and solution better.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |