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 $a , b , c , d$

#HelpMe! #MathProblem

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

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

Mishti Angel - 8 years, 1 month ago

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

Kislay Raj - 8 years, 1 month ago

Where did you find this problem? @Kislay Raj

Sanjeet Raria - 6 years, 7 months 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)

Mharfe Micaroz - 8 years, 1 month ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$