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Quadratic equations

The discriminant determines the real-root structure of a quadratic with nonzero leading coefficient.

x=−b±b2−4ac2a,a≠0x=\frac{-b\pm\sqrt{b^2-4ac}}{2a},\quad a\ne0

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More concepts to explore

  • Inequalities

    Inequalities compare ordered values; multiplying by a negative number reverses the inequality.

  • Linear equations

    A one-variable linear equation has the form ax+b=0b=0 with a nonzero for a unique solution.

  • Absolute value

    Absolute value measures distance from zero on the real line.

  • Algebraic expressions

    Expressions combine constants, variables and operations without necessarily asserting an equation.

  • Arithmetic operations

    Addition, subtraction, multiplication and division follow precedence rules; division by zero is undefined.

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Elementary Algebra and Functions

Explore numbers and expressions; equations and inequalities; functions and growth. Concepts and connections are available independently of video coverage.

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