Nice problem: Find 8 distinctive numbers ∈N\{0} such that these are simultaniously true: (1) a+b+c+d = e+f+g+h (2) a^2 +b^2 +c^2 +d^2 = e^2 +f^2 +g^2 +h^2 (3) a^3 +b^3 +c^3 +d^3 = e^3 +f^3 +g^3 +h^3 [Find a method to generate such numbers]


Question and Answers Forum

All Questions Topic List
Algebra Questions
Previous in All Question Next in All Question
Previous in Algebra Next in Algebra
Question Number 193484 by Frix last updated on 15/Jun/23
$Nice problem: Find 8 distinctive numbers ∈N\{0} such that these are simultaniously true: (1) a+b+c+d = e+f+g+h (2) a^2 +b^2 +c^2 +d^2 = e^2 +f^2 +g^2 +h^2 (3) a^3 +b^3 +c^3 +d^3 = e^3 +f^3 +g^3 +h^3 [Find a method to generate such numbers]$
$Nice problem :$ $Find 8 distinctive numbers \in N ∖ {0} such$ $that these are simultaniously true :$ $(1) a + b + c + d = e + f + g + h$ $(2) a^{2} + b^{2} + c^{2} + d^{2} = e^{2} + f^{2} + g^{2} + h^{2}$ $(3) a^{3} + b^{3} + c^{3} + d^{3} = e^{3} + f^{3} + g^{3} + h^{3}$ $[Find a method to generate such numbers]$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum