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Haute-Loire is a French département, number 43, named after the Loire River. It was created in 1790 out of portions of the historical provinces of Auvergne, Languedoc and Lyonnais[?].

Préfecture (capital): Le Puy en Velay[?]

Sous-préfectures: Brioude[?] and Yssingeaux[?].

See also: List of Communes of the Haute-Loire département of France

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Quadratic formula

... for generalizations) with a being non-zero. These solutions are also called the roots of the equation. The formula reads <math> x=\frac{-b \pm \sqrt ...

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