Quadratic formula

In elementary algebra, the quadratic formula is a formula that provides the solution(s) to a quadratic equation. […]

Given a general quadratic equation of the form

\(ax^2+bx+c=0\)

with x representing an unknown, with a, b and c representing constants, and with a ≠ 0, the quadratic formula is:

\(x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}\)

where the plus–minus symbol “±” indicates that the quadratic equation has two solutions.[1] Written separately, they become:

\(\displaystyle x_{1}={\frac {-b+{\sqrt {b^{2}-4ac}}}{2a}}\quad {\text{or}}\quad x_{2}={\frac {-b-{\sqrt {b^{2}-4ac}}}{2a}}\)

(“Quadratic Formula” 2023)

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