# Equation problem

If $$a^2 + b^3 + c^4 + d^5$$ = $$5 ( 9 + 26 + 1 + 4 + 22 )$$

Then find the set of all possible integer value(s) of $$a , b , c , d$$

Note by Kislay Raj
5 years ago

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Where did you find this problem? @Kislay Raj

- 3 years, 7 months ago

should a,b,c,d,be positive ??...or it can be either positive or negative?

- 5 years ago

pls remember that integers contain both +ve and -ve nos. Hence a, b, c and d can be both

- 5 years ago

brute-force method written in javascript; copy paste this code to jsbin.com then run the first on the list satisfy is a=-9,b=-3,c=-4,d=0 bounded -10 to 10 solutions are so many as boundary increases var m=-10, n=10, list=[]; for(a=m;a<=n;a++){ for(b=m;b<=n;b++){ for(c=m;c<=n;c++){ for(d=m;d<=n;d++){ if(aa+bbb+cccc+ddddd==310){ list[list.length]=[a,b,c,d]; } } } } } alert(list)

- 5 years ago