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Quadratic Equations are part of Algebra and they are used in a variety of mathematical calculations. The word Quadratic comes from the Latin word “quadratus” which means square. The equation generally has a form ax2 + bx + c = 0, where x is an unknown number and a, b, and c are known numbers and they shouldn’t be equal to 0.

Algebra and quadratic equations have been in question for more than 4000 years now. In ancient civilizations such as Egypt, Greece, China, and India, quadratic equations were known. They were boggling the minds of scholars of those times and many books in different languages have been written about them, particularly in India, China, and the Middle East. And during the middle ages i.e., somewhere between the 13th and 14th centuries, Algebra traveled from Asia to Europe, where scholars took the ancient quest forward.

One of the main applications of quadratic equations is in analytical geometry. In analytical geometry, quadratic functions can be used for calculating the equations of a circle, conic sections, eclipses, parabolas, and hyperbolas. In general, quadratic equations can help in determining the concavity of a parabola.

Some of the topics covered in Quadratic Equations include

• Equations, Inequalities, and Mathematical Modeling
• Functions and Their Graphs
• Polynomial Functions
• Rational Functions and Conics
• Exponential and Logarithmic Functions
• Systems of Equations and Inequalities
• Matrices and Determinants
• Sequences, Series, and Probability

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