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Algebraic equations of second degree:
relation between roots and coefficients

Given the equation a​x2+b​x+c=0,a≠0ax^{2}+bx+c=0,a\not=0, we have the following relations between its roots x1,2x_{1,2}:

x1+x2\displaystyle x_{1}+x_{2} =−ba,\displaystyle=-\frac{b}{a},
x1⋅x2\displaystyle x_{1}\cdot x_{2} =ca.\displaystyle=\phantom{-}\frac{c}{a}.