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A Six-Variable Algebraic Identity with Squares and Cubes
Given three rational numbers
,
and
, define the following six quantities:
Then for
we have
In this Demonstration,
and
are integers.
For example:
Contributed by:
Minh Trinh Xuan
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RELATED LINKS
abc Conjecture
(
Wolfram Demonstrations Project
)
Coincidences in Powers of Integers
(
Wolfram Demonstrations Project
)
Diophantine Equation
(
Wolfram
MathWorld
)
Seven Points with Integral Distances
(
Wolfram Demonstrations Project
)
Simultaneous Diophantine Equations for Powers 1, 2, 4 and 6
(
Wolfram Demonstrations Project
)
A Four-Power Diophantine Equation
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Minh Trinh Xuan
"
A Six-Variable Algebraic Identity with Squares and Cubes
"
http://demonstrations.wolfram.com/ASixVariableAlgebraicIdentityWithSquaresAndCubes/
Wolfram Demonstrations Project
Published: January 4, 2023
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