If 4x=8 (mod20) and 3x=16 (mod 20) then ....;

Question

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htzhang919 Nov 10, 2019

edited by htzhang919 Nov 16, 2019
edited by Melody Nov 16, 2019

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htzhang919 Nov 10, 2019

edited by htzhang919 Nov 16, 2019

CalculatorUser · Answer 1 · 2019-11-10T01:54:53

I am so sorry I dont have a real strategy for this.

lets guess and check:

So 12² = 144

144/20 is

7 with a remainder of 4.

So the answer is 4.

GingerAle · Answer 2 · 2019-11-16T01:28:42

Here’s a copy of the original question.

If \(4x\equiv 8\pmod{20}\) and \(3x\equiv 16\pmod{20}\), then what is the remainder when \(x^2\) is divided by 20?

GA