Develop a method for solving the congruence AX2 Bx C 0 mod
Develop a method for solving the congruence AX2 + Bx + C 0 (mod p) by use of indices, when p is an odd prime not dividing A. ( make the leading coefficient 1 and then, after suitable modification if necessary, complete the square). Apply your method to a) 15x2 - 4x + 9 0 (mod 41) b) 15x2 - 4x + 23 0 (mod 41).
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Solution
