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August 20th, 2018, 12:45 AM  #1 
Newbie Joined: Aug 2018 From: India Posts: 1 Thanks: 0  Solving Congruence Equation of Higher Degree
Is there any known procedure to solve congruence equations of some higher degree? I have checked some of the questions regarding this in internet but found in most of the cases the question revolves around a specific quadratic example. Suppose the degree is > 2. For an example, we are having a quadratic equation, x^3 + 15x^2 + 29 ^x +8 is congruent to 0 mod 7. I am trying to find out the possible values of x mod 7 (without trying all the possible values which are pretty straightforward but unrealistic in the case of higher modulus values). I am just curious about the approach we could take. 
August 20th, 2018, 08:41 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 19,541 Thanks: 1750 
Did you mean "29x" rather than "29 ^x"?


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congruence, degree, equation, higher, modular arithmetic, solving 
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