SOLUTION: Prove (algebraically, not numerically) that the product of the solutions of is ax^2+bx+c=0 is c/a

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Question 185172: Prove (algebraically, not numerically) that the product of the solutions of is ax^2+bx+c=0 is c/a
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
First, the solutions to the general form of the quadratic equation:
ax%5E2%2Bbx%2Bc+=+0 are:
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.
Simplifying this, we get:
%28b%5E2-b%5E2%2B4ac%29%2F4a%5E2+=+highlight%28c%2Fa%29