In the quadratic formula (ax^2 + bx + c = 0), is it possible to solve for a and b, if you know the zeros and the value of c?

In the quadratic formula (ax^2 + bx + c = 0), is it possible to solve for a and b, if you know the zeros and the value of c?

The quadratic formula is x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}

Plug in your known zeros for x and the value of c

You now have two equations with two unknowns. Give it a go.

Do you have a specific problem?

Depending on your variables, you may end up with another set of equations, that define what pair of values will work for A and B.

Then again, with two equations sharing the same variable you may be able to use one to reduce the other.