If x+x²+x³=99+99²+99³, what's x?

Answer: x + x^2 + x^3 = 99 + 99^2 + 99^3 \implies (x - 99) + (x^2 - 99^2.​.​.​ Long's Digest Top Stories For You If x+x²+x³=99+99²+99³, what's x? Mohammad Afzaal Butt, B-Sc Mathematics & Physics, Islamia College Gujranwala (1977) Updated Sun [math]x + x^2 + x^3 = 99 + 99^2 + 99^3[/math] [math]\implies (x - 99) + (x^2 - 99^2) + (x^3 - 99^3) = 0[/math] [math]\implies (x - 99) + (x - 99) (x + 99) + (x - 99) ( x^2 + 99^2 + 99 x) = 0[/math] [math]\implies (x - 99) ( 1 + x + 99 + x^2 + 99^2 + 99 x) = 0[/math] ... Read More » How did Charles Lindbergh sleep when he flew from New York to Paris, nonstop, aboard his plane for more than 33 hours? Ron Wagner, USAF pilot in Presidential Wing at Andrews, airline pilot, aero engineer Written Oct 16 He did not sleep due to the very high-tech system he developed to keep himself awake. He had not slept the night before and knew that staying awake on the 33-hour flight was...  Read More » From a recent session What is a masterpiece, and by that definition, can a film objectively be one? Ben Zauzmer, Hollywood Reporter Oscars Analyst; LA Dodgers Sabermetrician Written 3h ago What makes a film a masterpiece? By my definition, a masterpiece is a film whose every aspect is a work of fine art. Every shot by the cinematographer could be a still-life...  Read More » Why do pancakes from restaurants taste so much better than the pancakes I make at home? Rick Hicaro, former Professional chef & instructor at Gourmet Touch of Chicago (2000-2005) Updated Nov 28 Restaurants, in particular, those that specialize in serving breakfast, make LOTS of pancakes - literally, many hundreds a day. That's a lot of pancake batter. The first ha...  Read More » What film did John Wayne call "The most un-American thing ever"? Kelly La Rue, I watch movies Written Fri High Noon. Wayne described scenarist Carl Foreman's plot with great contempt: "In that picture, four guys come in to gun down the sheriff. He goes to the church and asks for...  Read More » I see signs that say "will shoot trespassers". Is it legal to shoot someone who trespasses on my property? Stephen Link, Attorney Written Oct 3 When I used to be a law student in southern Illinois I would be routinely asked questions like this. After my answer, they would invariably ask "What if they had a gun?" or...  Read More » As a nurse, what was your most interesting 'not in my job description' moment? Kelly Predojevic, RN Supervisor at Christian Healthcare Center Written Fri An aide called me into a patient bathroom. I had no idea what was up. Had someone fallen in there? Was the plumbing in need of maintenance? She just kept motioning me in an...  Read More » What are negative base number systems useful for? Alon Amit, PhD in Mathematics; Mathcircler. Written Feb 11 Nothing. Seriously, there's no known practical or theoretical reason to use a negative base (or radix), and I wouldn't expect such a reason to emerge. It's fun to explore ne...  Read More » If a famous person came up to you and said in an authoritative tone "Do you know who I am?" What would you say back? Vlad Pelv, Lived in Bay Area for the past 20+ years. Written Jul 18, 2018 Robin Williams once sat in my friend's cab. After a small chat, Robin was puzzled by the stoic reaction of my friend, not being in awe of his presence. So Robin asked "Do yo...  Read More » Are fighter jet cabins pressurized? Why do the pilots wear masks? Ron Wagner, Degree in Aerospace Engineering. Pilot with ATP and CFI. Updated Nov 9 There are two primary reasons, but before I get to them, I'll make the major point: If any country put their fighter pilots in inflated pressure suits they would quickly los...  Read More » What's your favourite geometry problem? Roman Andronov, Senior Software Engineer at Dow Jones and Company (1999-present) Written Feb 11 In this Quora answer we already discussed the idea that it is very difficult to select the one - there are just too many worthy problems. Perhaps we can identify an alternat...  Read More »   Read More in Your Feed Follow Quora on: Get the App for iOS and Android This email was sent by Quora (650 Castro Street #450, Mountain View, CA 94041). If you don't want to receive this type of email in the future, please unsubscribe.http://www.quora.com/