document.write( "Question 185172: Prove (algebraically, not numerically) that the product of the solutions of is ax^2+bx+c=0 is c/a \n" ); document.write( "

Algebra.Com's Answer #138908 by Earlsdon(6294) $\"\"$ $\"About$

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First, the solutions to the general form of the quadratic equation:
\n" ); document.write( " $\"ax%5E2%2Bbx%2Bc+=+0\"$ are:
\n" ); document.write( " $\"x+=+%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F2a\"$ and $\"x+=+%28-b-sqrt%28b%5E2-4ac%29%29%2F2a\"$ so we need to find the product of these solutions.
\n" ); document.write( "

Simplifying this, we get:
\n" ); document.write( " $\"%28b%5E2-b%5E2%2B4ac%29%2F4a%5E2+=+highlight%28c%2Fa%29\"$ \n" ); document.write( "

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