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  2. Division by zero - Wikipedia

    en.wikipedia.org/wiki/Division_by_zero

    According to Brahmagupta, A positive or negative number when divided by zero is a fraction with the zero as denominator. Zero divided by a negative or positive number is either zero or is expressed as a fraction with zero as numerator and the finite quantity as denominator. Zero divided by zero is zero.

  3. Quadratic formula - Wikipedia

    en.wikipedia.org/wiki/Quadratic_formula

    Quadratic formula. The roots of the quadratic function y = ⁠ 1 2 ⁠x2 − 3x + ⁠ 5 2 ⁠ are the places where the graph intersects the x -axis, the values x = 1 and x = 5. They can be found via the quadratic formula. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.

  4. Negative number - Wikipedia

    en.wikipedia.org/wiki/Negative_number

    Negative number. This thermometer is indicating a negative Fahrenheit temperature (−4 °F). In mathematics, a negative number represents an opposite. [1] In the real number system, a negative number is a number that is less than zero. Negative numbers are often used to represent the magnitude of a loss or deficiency.

  5. Quadratic equation - Wikipedia

    en.wikipedia.org/wiki/Quadratic_equation

    For example, let a denote a multiplicative generator of the group of units of F 4, the Galois field of order four (thus a and a + 1 are roots of x 2 + x + 1 over F 4. Because (a + 1) 2 = a, a + 1 is the unique solution of the quadratic equation x 2 + a = 0. On the other hand, the polynomial x 2 + ax + 1 is irreducible over F 4, but it splits ...

  6. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    Because of the rules of division of signed numbers (which states in part that negative divided by positive is negative), − ⁠ 1 / 2 ⁠, ⁠ −1 / 2 ⁠ and ⁠ 1 / −2 ⁠ all represent the same fraction – negative one-half. And because a negative divided by a negative produces a positive, ⁠ −1 / −2 ⁠ represents positive one-half.

  7. Square root of 2 - Wikipedia

    en.wikipedia.org/wiki/Square_root_of_2

    Let a and b be positive integers such that 1< ⁠ a / b ⁠ < 3/2 (as 1<2< 9/4 satisfies these bounds). Now 2b 2 and a 2 cannot be equal, since the first has an odd number of factors 2 whereas the second has an even number of factors 2. Thus | 2b 2 − a 2 | ≥ 1. Multiplying the absolute difference | √ 2 − ⁠ a / b ⁠ | by b 2 (√ 2 ...

  8. −1 - Wikipedia

    en.wikipedia.org/wiki/%E2%88%921

    In mathematics, −1 (negative one or minus one) is the additive inverse of 1, that is, the number that when added to 1 gives the additive identity element, 0. It is the negative integer greater than negative two (−2) and less than 0 .

  9. Ternary numeral system - Wikipedia

    en.wikipedia.org/wiki/Ternary_numeral_system

    A ternary / ˈtɜːrnəri / numeral system (also called base 3 or trinary) has three as its base. Analogous to a bit, a ternary digit is a trit (tri nary dig it). One trit is equivalent to log 2 3 (about 1.58496) bits of information. Although ternary most often refers to a system in which the three digits are all non–negative numbers ...