document.write( "Question 22: This is a basic question but I can seem to explain it. The Quadratic Equation term \"b^2 -4ab\" why do we change it to \"b^2+ 4ab\" when the \"b\" value is negative? Thanks annmrj@aol.com\r
\n" ); document.write( "\n" ); document.write( "EX: b^2-4ab (x^2-6x-27=0) = 6^2+4(1)(-27)=144\r
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Algebra.Com's Answer #9 by AnlytcPhil(1806)\"\" \"About 
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This is a basic question but I can seem to explain it.
\n" ); document.write( "The Quadratic Equation term \"b^2 -4ab\" why do we change
\n" ); document.write( "it to \"b^2+ 4ab\" when the \"b\" value is negative?
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\n" ); document.write( "We don't. First of all it's not b²-4ab, it's b²-4ac.
\n" ); document.write( "Also your example:
\n" ); document.write( "b^2-4ab (x^2-6x-27=0) = 6^2+4(1)(-27)=144
\n" ); document.write( "is incorrect in the next to last step, although 144 is correct.
\n" ); document.write( "It should be
\n" ); document.write( "b^2-4ab (x^2-6x-27=0) = 6^2-4(1)(-27)=144
\n" ); document.write( "What you have there, namely,
\n" ); document.write( "6^2+4(1)(-27)=
\n" ); document.write( "equals to -72, not 144.\r
\n" ); document.write( "\n" ); document.write( "Suppose we have
\n" ); document.write( " 2x² + 5x - 3
\n" ); document.write( "then a=2, b=5, and c=-3
\n" ); document.write( "So
\n" ); document.write( " b² - 4ac
\n" ); document.write( "becomes
\n" ); document.write( " (5)² - 4(2)(-3)
\n" ); document.write( "or
\n" ); document.write( " 25 - (-24)
\n" ); document.write( "and then the \" - \" sign before the parentheses and the \" - \"
\n" ); document.write( "before the 24 inside the parentheses becomes a \" + \", and we
\n" ); document.write( "have
\n" ); document.write( " 25 + 24
\n" ); document.write( "or
\n" ); document.write( " 49 \r
\n" ); document.write( "\n" ); document.write( "Edwin
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