Phi is the number whose square is itself plus one. 2 is the number whose square is it...?

[math]\varphi[/math] isn't "the" number whose square is itself plus [math]1[/math], because there are two such numbers. They are [math]\displaystyle \varphi=\frac{1+\sqrt{5}}{2}[/math] [math]\…

Top stories for Long   Phi is the number whose square is itself plus one. 2 is the number whose square is itself plus two. Is there a name for the number whose square is itself plus 3? Is there a name for such a class of numbers? Alon Amit, PhD in Mathematics; Mathcircler. • Answered December 1, 2017 [math]\varphi[/math] isn't "the" number whose square is itself plus [math]1[/math], because there are two such numbers. They are [math]\displaystyle \varphi=\frac{1+\sqrt{5}}{2}[/math] [math]\displaystyle \bar{\varphi}=\frac{1-\sqrt{5}}{2}[/math] Similarly, [math]2[/math] is not the only number whose square exceeds it by [math]2[/math]: the other su... Read more » 211 5   If you've had cataract surgery, how successful was it? Asked in Aging with an Attitude • Answered by Mary Gordon • April 4 It was -and is - great. My cataracts were brewing for years, but never really bothered me. Eye doctors would comment, but I didn't notice an impact on my vision. Until early ... Read more » 120 16   If I tell you I voted for Trump, what do you think I support? Be brutally honest. Kathy Casey, Bachelors Healthcare & Psychology, Southern Illinois University Edwardsville (1978) • Answered September 1 Here's a real life story. A guy who did mobile mechanics had worked on my car a couple of times was over, checking something else out and he just blurted out that he voted ... Read more » 2.6K 462   How did old people (western civilisation) financially support themselves a few hundred years ago with no pension, state support or joint family systems when they couldn't work anymore? Brian Dolge, Way too much data on my hands. • Updated April 17, 2019 Actually, in medieval times, tenancy was normally for life, meaning that the feudal lord could not throw you off the property as long as you kept it in production. If a ten... Read more » 349 29   Was Charlie Kirk falsely smeared as a fascist? Dennis Manning, studied at Mineral Area College (2010) • Answered September 14 Yes. He has made it abundantly clear that he believes in capitalism, exceptionalism, and minimal government interference. The thought that America should have a dictator run ... Read more » 2.1K 1.4K   What Happens To Academic Achievers When They're No Longer The Smartest Person In The Room? Brendan Kelly, Professor Emeritus at University of Toronto • Posted Mar 28 The US 2019 Mathematics Olympiad Team I can give you several examples of gifted people whose lives were dramatically changed when they discovered that they might not be the brightest bulb in the box... Read more » 624 69   If instant noodles are so bad for you, why do people from South Korea or Japan seem to be a lot healthier than Americans? They eat way more instant noodles than Americans. Erwin, former Compulsive Writer • Answered September 23, 2023 Instant noodles are not bad for you. In moderation they are fine, and as part of a larger diet. I've been eating instant noodles practically everyday for the last few decade... Read more » 203 34   Why are attractive men so rare? Dennis Watson, Cranky Millennial • Answered September 13 It's true. Studies show that women find the vast majority of men unattractive. So, this should give men every reason to give up, sit on the sofa, and order more pizza. I'm k... Read more » 1.1K 412   Why do husbands leave after 20+ years of marriage? Robert Botero, lives in Samana, Dominican Republic • Answered September 9 I left after 25 years. Exhausted. At a couples retreat we attended the counselor had us conduct a simple exercise: with M (wife) standing behind me, the counselor asked me t... Read more » 4.2K 739   Is it better to major in business, economics, or finance? Joshua Gross, Associate Professor of Computer Science at CSUMB • Answered February 19, 2018 Scott Gosnell and Eli Delavar-Mueller are both correct: business is the poorest choice among these. It's the most common major in the US, and those students apparently stud... Read more » 105 9   What should I do when my son asks to be dressed like a girl? Sherri, former Hospital billing clerk working from home at HOSPİTAL • Answered February 25 Depend upon your feeling. Are you in a state of shock. Or like a lot of Moms he;s my son what does he really want. If he really wants to dress he going to do it anyway. I w... Read more » 150 25   Is there an intuitive way to understand why Euler's number is 2.718, especially for non-mathematicians? Jack Brennen, professional problem solver (a/k/a Engineer) • Answered June 20 Compound interest. Let's say that I deposit $1 million in the bank at 100% interest per year. (Yeah, this is not realistic, but it makes the numbers easier to understand.) If... Read more » 994 36 Read more in your feed

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