General Form quadratic equation:
$$ax^{2} + bx + c = 0$$
The solutions x1 and x2 satisfy the following equations:
\begin{align} x_{1} + x_{2} &= -\frac{b}{a}\\ \\ x_{1} \times x_{2} &= \frac{c}{a}\\ \end{align}
Reduced quadratic equation:
$$x^{2} + px + q = 0$$
The solutions x1 and x2 satisfy the following equations:
\begin{align} x_{1} + x_{2} &= -p\\ \\ x_{1} \times x_{2} &= q\\ \end{align}
See also:
Viète Formulas FAQ
What are Viète formulas?
Viète formulas connect the roots of a polynomial with its coefficients.
What do the formulas show for a quadratic equation?
They show the sum and product of the roots in terms of the coefficients.
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