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August 20th, 2018, 01:45 AM   #1
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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.
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August 20th, 2018, 09:41 PM   #2
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Did you mean "29x" rather than "29 ^x"?
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