Question

What’s is the product of the two solutions of the quadratic equation ax^2+bx+c=0

Answer 1

The product of the two roots is c/a.

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Consider the equation

... a(x -p)(x -q) = 0

which has solutions x=p and x=q.

When multiplied out, it becomes ...

... a(x² -(p+q)x +pq) = ax² -a(p+q)x +apq = 0

When apq = c, the product pq is c/a.