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  2. Extraneous and missing solutions - Wikipedia

    en.wikipedia.org/wiki/Extraneous_and_missing...

    However, it is not always simple to evaluate whether each operation already performed was allowed by the final answer. Because of this, often, the only simple effective way to deal with multiplication by expressions involving variables is to substitute each of the solutions obtained into the original equation and confirm that this yields a ...

  3. Quadratic equation - Wikipedia

    en.wikipedia.org/wiki/Quadratic_equation

    Figure 1. Plots of quadratic function y = ax 2 + bx + c, varying each coefficient separately while the other coefficients are fixed (at values a = 1, b = 0, c = 0). A quadratic equation whose coefficients are real numbers can have either zero, one, or two distinct real-valued solutions, also called roots.

  4. Sicherman dice - Wikipedia

    en.wikipedia.org/wiki/Sicherman_dice

    Comparison of sum tables of normal (N) and Sicherman (S) dice. If zero is allowed, normal dice have one variant (N') and Sicherman dice have two (S' and S"). Each table has 1 two, 2 threes, 3 fours etc.

  5. Quadratic formula - Wikipedia

    en.wikipedia.org/wiki/Quadratic_formula

    The quadratic formula can equivalently be written using various alternative expressions, for instance = (), which can be derived by first dividing a quadratic equation by ⁠ ⁠, resulting in ⁠ + + = ⁠, then substituting the new coefficients into the standard quadratic formula.

  6. Algebraic expression - Wikipedia

    en.wikipedia.org/wiki/Algebraic_expression

    In mathematics, an algebraic expression is an expression built up from constants (usually, algebraic numbers) variables, and the basic algebraic operations: addition (+), subtraction (-), multiplication (×), division (÷), whole number powers, and roots (fractional powers).

  7. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    Problem in words: If you double the age of a child and add 4, the resulting answer is 12. How old is the child? Equivalent equation: 2 x + 4 = 12 {\displaystyle 2x+4=12} where x represent the child's age

  8. Today’s NYT ‘Strands’ Hints, Spangram and Answers for ...

    www.aol.com/today-nyt-strands-hints-spangram...

    Today's spangram answer on Saturday, December 14, 2024, is GOGETTER. What Are Today’s NYT Strands Answers, Word List for Saturday, December 14? DRIVE. INTENSITY. PURPOSE. DEVOTION. PASSION.

  9. Quadratic function - Wikipedia

    en.wikipedia.org/wiki/Quadratic_function

    In mathematics, a quadratic function of a single variable is a function of the form [1] = + +,,where ⁠ ⁠ is its variable, and ⁠ ⁠, ⁠ ⁠, and ⁠ ⁠ are coefficients.The expression ⁠ + + ⁠, especially when treated as an object in itself rather than as a function, is a quadratic polynomial, a polynomial of degree two.