Meaning & Definition of word "Equation"

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    Equation

    /ɪˈkweɪ.ʒən/

    noun:

    • 1. A mathematical statement that asserts the equality of two expressions, typically containing variables, constants, and operators.
      • Example: The equation 2x + 3 = 7 can be solved to find the value of x.
    • 2. A situation or problem that is represented by an equation, often used in various fields such as physics or economics.
      • Example: The physicist presented a complex equation to describe the movement of particles.
    • 3. The balancing of different factors or elements, often used in a broader, metaphorical sense.
      • Example: In our budget, the equation of income and expenses must always balance.
    • 4. A mathematical equality that involves variables.
      • Example: Solving a quadratic equation requires finding the roots of the function.
    • 5. A formal representation of a relationship between quantities.
      • Example: The economists used a supply and demand equation to predict market behavior.

    Etymology

    From Latin 'aequatio', meaning 'equality, balance'.

    Common Phrases and Expressions

    solve an equation:

    To find the value of the unknown variable that satisfies the equation.

    equation of state:

    A relationship between state variables in thermodynamics.

    balance the equation:

    To ensure that both sides of an equation are equal.

    Related Words

    variable:

    A symbol used to represent an unknown quantity in an equation.

    function:

    A relationship where a value depends on one or more variables.

    expression:

    A combination of numbers and letters that represents a mathematical relationship.

    Slang Meanings of equation

    Meaning: Equation is sometimes used to mean a situation or a mix of factors that lead to a result.

    Example Sentence: The equation for success includes hard work and networking.

    Meaning: In casual context, it can refer to balancing different aspects of life.

    Example Sentence: Trying to maintain the equation of work and life is challenging.