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Number Theory question

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How many values of  satisfy both of the following conditions?
(a)  x is a multiple of 7, not necessarily positive.
(b)  x^2 is less than 5000.

Oct 5, 2021

#1
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How many values of satisfy both of the following conditions?
(a) x is a multiple of 7, not necessarily positive.
(b) x^2 is less than 5000.

Hello Guest!

If $$x\in \mathbb Z\ then$$

$$x^2<5000\\ x<\sqrt{5000}\\ x<70.71$$

$$x\in \{-70,-63,-56,\ …\ 0,\ ...\ 56,\ 63,70\}$$

$$21\ values\ meet\ the\ two\ given\ conditions.$$

!

Oct 6, 2021
edited by asinus  Oct 6, 2021