Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

A. The positive real number that is one greater than its multiplicative inverse. Q?

The answer is "The positive real number that is one greater than its multiplicative inverse." What is the question?

4 Answers

Relevance
  • 1 decade ago
    Favorite Answer

    x - 1 = 1/x

    x² - x -1 = 0

    this equation can be solved in

    x = 1/2 ± √5/4

    but when x is +ive

    then

    x = 1/2 + √5/4

    x = 1.618033988749

    x ≈1.62

    ***************

    NOTE

    we solve the equation ax² + bx +c = 0

    with formula

    x = (-b ±√(b² -4ac) )/2

    **************

    this number is called the golden ratio φ

    Two quantities are in golden ratio if their sum is to the larger quantity as the larger is to the smaller. Stated mathematically:

    (a+b)/a = a/b

    where a is the larger and b is the smaller quantity.

    This ratio, denoted (φ), is an irrational number with value

    φ ≈1.618033989

    The first calculation of the golden ratio, was described by Euclid in his Elements (greek: Στοιχεῖα).

    The most common other names used for the golden ratio are golden section (Latin: sectio aurea), golden mean (which has another unrelated meaning, see Golden mean (philosophy)), golden number, and phi (referring to the Greek letter φ).[1][2][3] Other names include medial section, divine proportion (Italian: divine proportione), divine section (Latin: sectio divina), golden proportion, golden cut,[4] extreme and mean ratio, and mean of Phidias.[5][6][7]

    Since the sixteenth century, shapes proportioned according to the golden ratio have been considered aesthetically pleasing in Western cultures; the golden ratio is still frequently used in art and design. The golden ratio has attracted a large following for its supposed aesthetic, psychological, historical, mystical, natural, and metaphysical properties, in addition to its mathematical properties.

  • 1 decade ago

    any comment on the number 2?

  • kevin!
    Lv 5
    1 decade ago

    What is the definition of φ (divine ratio/golden ratio)?

    ^_^

  • Anonymous
    1 decade ago

    What is phi? (1.618034..)

Still have questions? Get your answers by asking now.