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And counting (Posted on 2019-02-28)

a + b + c = 3
a² + b² + c² < 10
a³ + b³ + c³ = 15
a⁴ + b⁴ + c⁴ = 35
a⁵ + b⁵ + c⁵ = m

Find m.

No Solution Yet Submitted by Danish Ahmed Khan

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Comments: ( Back to comment list | You must be logged in to post comments.)

If we're sharing non-analytical solutions

| Comment 3 of 4 |

I quick plot on desmos makes it pretty clear that a solution exists with one of the variables =1.

Letting c=1 we can easily find the others: a=1+sqrt(2), b=1-sqrt(2)

From which the solution is 83.

Also the squares sum to 7<10

Posted by Jer on 2019-03-01 07:47:40

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