what is x 3 y 3 z 3 k

what is x 3 y 3 z 3 k For decades a math puzzle has stumped the smartest mathematicians in the world x3 y3 z3 k with k being all the numbers

Finding x2 y2 z 2 given that x y z 0 x3 y3 z 3 3 and x4 y4 z 4 15 math stackexchange q 126069 Yes this can be solved without guessing A Diophantine equation is a polynomial equation usually in two or more unknowns such that only the integer solutions are sought or studied an integer solution

what is x 3 y 3 z 3 k

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what is x 3 y 3 z 3 k
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The original problem set in 1954 at the University of Cambridge looked for Solutions of the Diophantine Equation x 3 y 3 z Calculus Trigonometry Matrix x 3 y 3 z 3 k Solve Question x 3 y 3 z 3 k Solve the equation x sqrt 3 k y 3 z 3 Show Solutions text Solve for x text

The underlying equation to solve looks like this x 3 y 3 z 3 k This is an example of a Diophantine equation named for the ancient mathematician Diophantus of Alexandria who Popular Problems Algebra Factor x 3y 3 z 3 x3y3 z3 x 3 y 3 z 3 Rewrite x3y3 x 3 y 3 as xy 3 x y 3 xy 3 z3 x y 3 z 3 Since both terms are perfect cubes factor using

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X 3 8x 2 22x 20 0 roots x 3 6x 2 11x 6 x 3 5x 2 8x 48 0 x 3 8x 2 4x 48 0 J C P Miller M F C Woollett Solutions of the Diophantine Equation x3 y3 z3 k Journal of the London Mathematical Society Volume s1 30 Issue 1 1 Janu

Click on the article title to read more Quiz Algebra x3 y3 z3 42 Similar Problems from Web Search Show that x3 y3 z 3 4 has no solutions math stackexchange questions 1509225 show that x3

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what is x 3 y 3 z 3 k - Popular Problems Algebra Factor x 3y 3 z 3 x3y3 z3 x 3 y 3 z 3 Rewrite x3y3 x 3 y 3 as xy 3 x y 3 xy 3 z3 x y 3 z 3 Since both terms are perfect cubes factor using