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(a+b)/a=a/b=phi (the golden ratio, as defined) (a+b)/a=phi (we'll solve this equation) 1+b/a=phi (just changing the form of the left side a little) 1+1/phi=phi (a/b=phi …so b/a=1/phi) phi+1=phi2 (multiply both sides by phi) phi2-phi-1=0 (rearrange) From here, we can use the quadratic equation to find the positive solution: phi=(-b+√(b2-4ac))/(2a) phi=(1+√(1+4))/2 phi=(1+√5)/2≈1.618 (MORE)

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The golden ratio, also known as the golden mean, is 1.61803399. Using that factor, the golden ratio of 6 inches would be: 6 in. * 1.61803399 = 9.70820394 inches. Rounding …produces 9.7 in. (MORE)

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The Golden Ratio is a mathematical relationship that exists in art, shapes, nature and patterns. This ratio is thought to be aesthetically pleasing and beneficial to the objec…ts that posess them. The Golden Ratio denoted by the Greek letter phi, usually lower case (φ) states that the division of a line segment into two creates a ratio of the shorter part to the longer equal to that of the longer to the whole. It works out to about 1.61803 and is derived from the Fibonacci sequence. For example: The ratio of the short and long sides of a rectangle should be 1.618 (rounded) to be "right".This ratio is used in doors, windows, pictures, books and many other commonly seen rectangular objects.The seeds in a sunflower are 53 to the right and 33 to the left diagonal creating a 1.6 proportionthe swivel of a snail's shellthe length of our body parts in proportion to the whole anatomical bodyacorn seeds The Golden ratio is also known as the: golden sectiongolden mean extreme and mean ratio medial section divine proportion divine section golden proportion golden cut golden number (MORE)

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Gabries Bosia determined a way to construct the golden ratio (phi) while pondering the knight's move in chess. The method involves inscribing a right triangle of sides 3, 4 an…d 5 within a circle. For more information, please see the links below. (MORE)

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the 5s because it has better service but it dosent have diffrent colrs just silver gold and black

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The golden ratio is a mathematical concept. However, many great cooks memorize standard ratios in cooking, such as the ratio of oil to vinegar for vinaigrette, or the rati…os of flour to liquid to eggs for baked goods. (MORE)

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It looks like this question may be filed in the wrong spot. While it includes a "golden ratio," and therefore looks like a math question, it is really about relationships.… John Gottman is a researcher and expert in relationships, particularly marriage. In studying couples, Gottman began to recognize and quantify symptoms that led to marital distress and eventual divorce. In that process, he also identified the opposite: how can marriages be improved and saved? And herein lies the "Golden Ratio." The ratio is of positive interactions to negative interactions. Or in mathematical formula (Positive interaction)/(Negative interaction). Dr. Gottman determined that for every negative interaction, there are five positive interactions in healthy couples (or couples that want to move toward health). The beauty of this ratio is that it demonstrates 1) that healthy couples are not without painful moments, and 2) you can do something to improve a distressed relationship, simply by focusing on more positive interactions. So the short answer is 5/1 positive to negative interactions. Lee H. Baucom, Ph.D. Creator, Save The Marriage System (MORE)

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20c + 5 = 5c + 65 Divide through by 5: 4c + 1 = c + 13 Subtract c from both sides: 3c + 1 = 13 Subtract 1 from both sides: 3c = 12 Divide both sides by 3: c = 4

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The Golden Ratio is interesting due to it being in place throughout nature. The Golden Ratio is present within humans, several species of plants, and even in the shells of so…me species invertibrates. (MORE)

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In Science

The golden ratio refers to a square within a rectangle and is known as phi and its value is about 1.6180339 (exactly it is (1 + √5)/2)