Solving Quadratic Congruences with Prime Modulus

Solving quadratic congruences with prime modulus using factoring and completing the square.

[deepakkumarshukla]

not an artist but a magician(teacher). A million thanks for saving my day!

[mcadamsngwira]

Good explanation you deserve a pat at the back, you are great. Thanks alot

[babujimitra]

Thanks... Your brilliance made it very easy to understand... Where to apply this?

[petermhart]

Thanks for posting. That was useful. As an observation going with x^2-4x instead of x^2+30x and so completing the square with +4 instead of +225 appears to make the arithmetic a bit more straight forward. Thanks again.

[رياضياتتوجيهيوجامعةأ.عبدالرحمن]

If a square number matches zero on the scale of a prime number, what do we do?

[INAYATULLAHSHEIKH]

Does there is only this video of yours on Congruences. If no tel me how can I see other video of yours .

[yoitslemonboy]

what did she do to get 19=8 mod 17? im confused.

[SrisailamNavuluri]

Very good explanation.Thank you very much.

[valentinkadushkin]

How do you solve this example? x^2 = -1(mod 11) with your method? This has no solutions. Using your method should you just add 11 to (-1) and so on. Would take eternity.

[nuet.school]

wow amazing expalanation! Thank you so much

[HomoSiliconiens]

Thank you very much. Very helpful video!

[JumaHamad-intq]

2. Find all values of x in the congruence x² = q(mod p), where p is a prime number, given

(i) q = 15 p = 967

(ii) * q = 14, p = 941 . How to solve this

[LemoUtan]

All 6 examples suggest that if r is solution, so is r+1. Except the last one. Interesting?

[bikashchandraroy]

Dear Cathy Frey, the method is not yours. The method is also described in my book"Discrete Mathematics & Number Theory', Das Ganu Prakashan, Nagpur, India. Book is published in Jan. 2016. Then, How can you get the credit of it as yours method published in Nov. 2017 ?