Solve the following Diophantine equation for the integers, x and y.

David Hilbert’s Tenth Problem is open!

Solve

x^{7}+x^{6}y + x^{5}y^{2} + x^{4}y^{3} + x^{3}y^{4}+ x^{2}y^{5}+xy^{6} +y^{7} =234,567,890,122

for integers, x and y.

Remark: Two important equations,  x = βy  and d = |x – y|, help us to establish halting criteria for our algorithm…

What types of Diophantine equations are unsolvable?

Good Luck!

Dave.

Published by Dave

"May all beings be happy and peaceful. Thank you, Lord GOD! Praise you, Lord GOD! Love you, Lord GOD! Trust you, Lord GOD! Bless you, Lord GOD! Amen!" 😂 P.S. Go Blue! 👍 ✌

2 thoughts on “Solve the following Diophantine equation for the integers, x and y.

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