If the Graphs of a System of Two Equations Are

question 179

Short Answer

If the graphs of a system of two equations are a circle and a parabola, what are the possible numbers of
solutions (with real coordinates) of this system?

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Definitions:

Watteau

Jean-Antoine Watteau, a French painter known for his Rococo style, depicting light-hearted leisure scenes called fêtes galantes.

Poussinistes

Followers of Nicolas Poussin (17th-century French painter) who prioritized line and drawing in art, as opposed to color and brushwork preferred by the Rubenistes.

Rubénistes

Artists or art enthusiasts who favored the color and brushwork of Peter Paul Rubens over the line and form promoted by Poussinists, in a debate within the French Academy in the 17th century.

Philosophes

French Enlightenment thinkers and writers who advocated for reason, science, and secularism in the 18th century.