24 horses and 50 humans because 24x4 as one horses each has 4 legs each so 24x4 = 96 1 human has 2 legs so 2 legs 2 times by 50 2x50 which is 100 . Today, they’re all still unsolved, except for the Poincaré conjecture. Express as a quadratic equation. How much does it cost to see a trichologist? It’s one thing to describe what infinitely many groups look like, but it’s even harder to be sure the list covers everything. The Prime Number Theorem is more subtle; it describes the distribution of prime numbers along the number line. Is the following true or false? He published his work in 1837, 16 years after the death of Galois, but nine years before most of Galois’ work was published. That’s the beauty of math: There’s always an answer for everything, even if takes years, decades, or even centuries to find it. Answer: 16. More precisely, it says that, given a natural number N, the number of primes below N is approximately N/log(N) ... with the usual statistical subtleties to the word “approximately” there. The goal of doing this for polynomials of any degree was noted as early as the 15th century. Our parallel line equation becomes, y = 3/2x ‒ 2 Correct Answer. Algebraic groups are sets that follow a few basic properties, like having an “identity element,” which works like adding 0. Hard Math Questions and Answers (Q&A) Follow . To solve this question, we would start off with the equation √2√3–√−2√. This turned out to be a much harder question, known as The Continuum Hypothesis (CH). One answer is x = 1, y = -1, and z = 2. It’s possible to color each state (or country) on the map, following one rule: No states that share a border get the same color. A consistent system is one that won’t give you any logical contradictions. AN times E equal to ABN if A=1, B=5, E=3 & N=0. Young boy writes math equations on chalkboard via thoughtco.com It’s possible to understand a (non-mathematically rigorous) version of Gödel’s argument, with some careful thinking. It wants us to use the slope or m value of Equation 1, which is 3/2. Two mathematicians at the University of Illinois, Urbana-Champaign, Kenneth Appel and Wolfgang Hakan, found a way to reduce the proof to a large, finite number of cases. They're guaranteed to make your head spin. Obviously.). Part by part, the many facets of the proof were eventually checked and the completeness of the classification was confirmed. Hard Algebra 2 Problems and Answers Luxury Logarithmic Equations Other Bases – Examples Problems with via aiasonline.org. Our online hard math trivia quizzes can be adapted to suit your requirements for taking some of the top hard math quizzes. Writing the forms when they’re possible is one thing, but how did mathematicians prove it’s not possible from 5 up? From solving Rubik’s Cube to proving a fact about body-swapping on Futurama, abstract algebra has a wide range of applications. We may earn commission if you buy from a link. Math was apparently more of a hobby for Fermat, and so one of history’s greatest math minds communicated many of his theorems through casual correspondence. One of the simplest facts—that there are infinitely many prime numbers—can even be adorably fit into haiku form. What is the difference between FHSS and DSSS? For centuries, the math world has been left wondering if Fermat really had a valid proof in mind. But from degree 5 on, a closed form is not possible. Which state of matter has the most energy? To solve this equation, one would need to first factor x2 - 2x -35. On the surface, it seems easy. Cantor proved that the set of real numbers is larger than the set of natural numbers, which we write as |ℝ|>|ℕ|. Subsequent efforts were made to streamline the titanic proof to more manageable levels, and that project is still ongoing today. Number Problem 3 56a f9b58b7d0df7486 via thoughtco.com. The first half is thanks to Kurt Gödel, the legendary Austro-Hungarian logician. It can be true, and no logical contradictions follow, but it can also be false, and no logical contradictions will follow.

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