The Square Root Property definitions Flashcards
The Square Root Property definitions
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Quadratic Equation An algebraic expression set to zero, featuring a variable squared as its highest power, often written in standard form. Factoring A method for solving equations by expressing them as a product of simpler expressions, useful when obvious factors exist. Square Root Property A technique for solving equations by isolating a squared term and taking both positive and negative square roots. Standard Form A way of writing quadratic equations as ax squared plus bx plus c equals zero, highlighting coefficients a, b, and c. Squared Expression A mathematical term where a variable or group is raised to the second power, often the focus when isolating terms. Radical A symbol or expression representing the root of a number, commonly appearing in solutions involving square roots. Imaginary Unit A mathematical constant denoted as i, representing the square root of negative one, used in complex solutions. Complex Root A solution to an equation that includes both a real and an imaginary component, often resulting from negative radicands. Isolating The process of rearranging an equation to get a specific term alone on one side, crucial before applying the square root property. Coefficient A numerical factor multiplying a variable in an equation, such as a, b, or c in the standard form. Constant Term A value in an equation that does not contain a variable, typically represented as c in standard form. Positive and Negative Square Roots The two possible values obtained when taking the square root of a number, accounting for both solution branches. Radicand The value or expression inside a radical symbol, whose root is being considered. Whole Number Solution A result of an equation that is an integer without fractions or radicals, not always guaranteed in quadratic equations. Fractional Solution A solution to an equation that is expressed as a ratio of two integers, often appearing after applying the square root property.
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