What's the answer to x3 y3 z3 K?

In mathematics, entirely by coincidence, there exists a polynomial equation for which the answer, 42, had similarly eluded mathematicians for decades. The equation x3+y3+z3=k is known as the sum of cubes problem.

What is the solution of x3 y3 z3 k?

Expert-Verified Answer

x3+y3+z3=k, with k being all the numbers from one to 100, is a Diophantine equation that's sometimes known as "summing of three cubes." ∴ The required result will be 3xyz.

What is the formula of x3 y3 z3?

Solution : We know that x3 + y3 + z3 – 3xyz = (x + y + z) (x2 + y2 + z2 – xy – yz – zx).

What is the hardest to solve in math?

Today's mathematicians would probably agree that the Riemann Hypothesis is the most significant open problem in all of math. It's one of the seven Millennium Prize Problems, with $1 million reward for its solution.

Has anyone solved 3X 1?

After that, the 3X + 1 problem has appeared in various forms. It is one of the most infamous unsolved puzzles in the word. Prizes have been offered for its solution for more than forty years, but no one has completely and successfully solved it [5].

The Mystery of 42 is Solved - Numberphile

What are the 7 unsolved maths problems?

Clay “to increase and disseminate mathematical knowledge.” The seven problems, which were announced in 2000, are the Riemann hypothesis, P versus NP problem, Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier-Stokes equation, Yang-Mills theory, and Poincaré conjecture.

Why is 3x 1 unsolvable?

The 3x+1 Conjecture asserts that, starting from any positive integer n, repeated iteration of this function eventually produces the value 1. The 3x+1 Conjecture is simple to state and apparently intractably hard to solve.

What is the largest number in the world?

This number was Eddington's guess for the number of protons in the observable universe. Googol: A googol is most easily expressed as 10¹⁰⁰. That means it is a one followed by one hundred zeros. The number was referenced by Edward Kasner in his 1940 book, Mathematics and the Imagination, according to Live Science.

How hard is calculus?

Calculus is widely regarded as a very hard math class, and with good reason. The concepts take you far beyond the comfortable realms of algebra and geometry that you've explored in previous courses. Calculus asks you to think in ways that are more abstract, requiring more imagination.

What is z3 in algebra?

The unique group of Order 3. It is both Abelian and Cyclic. Examples include the Point Groups and and the integers under addition modulo 3.

What should be added to x3 3x2y y3 to get x3 y3?

Hence, −3x2y−3xy2 should be added to x3+3x2y+3xy2+y3 to get x3+y3.

What is x3 in algebra?

In the language of algebra, x3 (read "x to the third power") means "x multiplied by itself three times", or x · x · x. To find the value of real numbers raised to exponents, just multiply the large number attached to the exponent (called the base) by itself the indicated number of times.

What equation has 3 solutions?

Question: What equation has 3 solutions? Answer: A cubic equation has three solutions.

What is the solution of 3 equations?

In general, a solution of a system in three variables is an ordered triple (x, y, z) that makes ALL THREE equations true. In other words, it is what they all three have in common. So if an ordered triple is a solution to one equation, but not another, then it is NOT a solution to the system.

What is bigger than infinity?

Mathematically, if we see infinity is the unimaginable end of the number line. As no number is imagined beyond it(no real number is larger than infinity). The symbol (∞) sets the limit or unboundedness in calculus.

Is Googolplexian the biggest number?

The Science Part

A Googolplexian is a number with 10¹⁰⁰ zeroes. Whilst larger numbers can be imagined, the Googolplexian is the largest number that could be found in the dictionary.

What is 1 over infinity?

Infinity is not a real number and is only used as a representation for an extremely large real number. Dividing 1 by infinity is equal to zero. In general, any real number divided by infinity is zero, and the quotient of nonzero real numbers that divide infinity is infinity.

What is above a trillion?

After a billion, of course, is trillion. Then comes quadrillion, quintrillion, sextillion, septillion, octillion, nonillion, and decillion.

What is bigger than googolplex?

What's bigger than a googolplex? Even though a googolplex is immense, Graham's number and Skewes' number are much larger. Named after mathematicians Ronald Graham and Stanley Skewes, both numbers are so large that they can't be represented in the observable universe.

What's the hardest math question in the universe?

Goldbach Conjecture

That is, can you write every possible even natural number as the sum of two primes? The Goldbach conjecture answers this question in the affirmative. It states: GB: “Every even integer greater than 4 can be written as the sum of two prime numbers.”

What is the hardest math problem never solved?

The Collatz Conjecture is the simplest math problem no one can solve — it is easy enough for almost anyone to understand but notoriously difficult to solve. So what is the Collatz Conjecture and what makes it so difficult?

What is the prize for solving 3x 1?

A prize of 120 million JPY will be paid to those who have revealed the truth of the Collatz conjecture. The conjecture is also known as the 3 x + 1 problem or the 3 n + 1 problem.