document.write( "Question 852753: under which condition is quadratic equation can be factorable where a is not equal to zero \n" ); document.write( "

Algebra.Com's Answer #513742 by josgarithmetic(39617) $\"\"$ $\"About$

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$\"ax%5E2%2Bbx%2Bc=0\"$ , factorable if $\"b%5E2-4ac=0\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Your specification that $\"ax%5E2%2Bbx%2Bc%3C%3E0\"$ is not an obstacle because, if you have a quadratic equation, $\"ax%5E2%2Bbx%2Bu=v\"$ with $\"v%3C%3E0\"$ , then you can add the additive inverse of v to both sides:
\n" ); document.write( " $\"ax%5E2%2Bbx%2Bu-v=v%2B%28-v%29\"$
\n" ); document.write( " $\"ax%5E2%2Bbx%2Bu-v=0\"$
\n" ); document.write( "and for all practical purposes, $\"u-v=c\"$ , so you still have:
\n" ); document.write( " $\"ax%5E2%2Bbx%2Bc=0\"$ . \n" ); document.write( "

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