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
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