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
\n" ); document.write( "\n" ); document.write( "Solve for x in terms of a.\r
\n" ); document.write( "\n" ); document.write( "3x^2+ax^2=9x+9a
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Algebra.Com's Answer #697270 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
3x^2+ax^2=9x+9a
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\n" ); document.write( "3x^2 + ax^2 - 9x = 9a
\n" ); document.write( "(a+3)*x^2 - 9x = 9a
\n" ); document.write( "\"x%5E2+-+x%2A%289%2F%28a%2B3%29%29+=+9a%2F%28a%2B3%29\"
\n" ); document.write( "b = 9/(a+3)
\n" ); document.write( "Add (9/2(a+3))^2 = (81/4)/(a+3)^2
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\n" ); document.write( "\"%28x+-+9%2F%282%28a%2B3%29%29%29%5E2+=+9a%2F%28a%2B3%29+%2B+81%2F%284%28a%2B3%29%5E2%29\"
\n" ); document.write( "
\n" ); document.write( "\"%28x+-+9%2F%282%28a%2B3%29%29%29%5E2+=+%2836a%5E2+%2B108a+%2B+81%29%2F%284%28a%2B3%29%5E2%29\"
\n" ); document.write( "
\n" ); document.write( "\"%28x+-+9%2F%282%28a%2B3%29%29%29%5E2+=+9%2A%282a+%2B+3%29%5E2%2F%284%28a%2B3%29%5E2%29\"
\n" ); document.write( "-------
\n" ); document.write( "\"x+-+18%2F%284%28a%2B3%29%29+=+%2B%286a+%2B+9%29%2F%284%28a%2B3%29%29\"
\n" ); document.write( "\"x+=+%286a+%2B+27%29%2F%284%28a%2B3%29%29\"
\n" ); document.write( "=====================================
\n" ); document.write( "\"x+-+18%2F%284%28a%2B3%29%29+=+-%286a+%2B+9%29%2F%284%28a%2B3%29%29\"
\n" ); document.write( "\"x+=+%28-6a+%2B+9%29%2F%284%28a%2B3%29%29\"
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\n" ); document.write( "Very tedious. Mistakes are possible.
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\n" ); document.write( "Any quadratic with real number coeffici3ents can be solved by completing the square.
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\n" ); document.write( "Using the quadratic equation will work, too.
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\n" ); document.write( "I like the other tutor's approach and solution better.\r
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