Concept

Completing the square

Related lectures (27)

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Covers the topic of inequalities involving square roots and provides examples and solutions.

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Covers solutions to mathematical equations involving limits, square roots, and algebraic expressions.

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Explores limits and convergence in mathematical sequences involving square roots and variables.

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Emphasizes the importance of verifying the possible domain of a function before solving an equation.

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Covers level sets and continuity in advanced analysis, emphasizing the importance of understanding level sets for various functions.

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Explores algebraic functions, limits, and behavior as x approaches infinity.

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Demonstrates completing the square in quadratic polynomials for factorization simplification.

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Explores the computation of square roots using Newton's method and addresses precision challenges in the process.

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Explores RSA cryptography, covering primality testing, quadratic residues, and cryptographic applications.

Knot Theory: The Quadratic Linking Degree

Covers the quadratic linking degree in knot theory, exploring its definitions, properties, and significance in algebraic geometry.

Integral Techniques: Trigonometric/Hyperbolic Functions

Covers integration techniques using trigonometric and hyperbolic functions, with examples and variable changes.

Square Roots and Irrationality

Explores even squares, irrationality of √2, gaps in rational numbers, and minorants in Q.

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Explores square roots in quadratic equations, complex numbers, Fermat prime numbers, and the Gauss-Wantzel theorem.

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