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keisanHigh-precision calculations for everyday life and work

Solutions to the quadratic equation

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Find the solutions and graph of the quadratic equation. If there are repeated roots, display the same answer for both roots x₁ and x₂.
Quadratic Equation
\(\\ \hspace{30px} ax^2+bx+c=0\\\)
a
(a≠0)
b
c
Roots of a Quadratic Equation

\(\normalsize (1)\ roots:\hspace{30px} x_1={\large\frac{-b+\sqrt{b^2-4ac}}{2a}}\\ \hspace{100px} x_2={\large\frac{-b-\sqrt{b^2-4ac}}{2a}} \\ (2)\ double\ root:\ x={\large\frac{-b}{2a}}\ , if\ b^2-4ac=0\\\)

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