document.write( "Question 1208778: Show that the product of the roots of a quadratic equation is c/a. \n" ); document.write( "

Algebra.Com's Answer #847223 by Shin123(626) $\"\"$ $\"About$

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By the quadratic formula, the roots of the quadratic $\"ax%5E2%2Bbx%2Bc\"$ are $\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"$ . Multiplying these together gives

. To simplify the numerator, we recall the difference of squares factorization, which is $\"%28x-y%29%28x%2By%29=x%5E2-y%5E2\"$ (this can be proved by expanding the left side). Therefore, the product of the roots is

, so we are done. \n" ); document.write( "

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