tryed to use ur method which is extended euclidean algorithm to figure out the valu eof "a" in (d), but it doesnt work. In ur answer of (b), a can be -165 based on this method, could u tell me is there any mistake in my calculation? thanks

tryed to use ur method which is extended euclidean algorithm to figure out the valu eof "a" in (d), but it doesnt work. In ur answer of (b), a can be -165 based on this method, could u tell me is there any mistake in my calculation? thanks

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

I tryed to use ur method which is extended euclidean algorithm to figure out the valu eof "a" in (d), but it doesnt work. In ur answer of (b), a can be -165 based on this method, could u tell me is there any mistake in my calculation? thanks:)

d): 35a = 10 (45)
45 = 35x1+ lo
35=10x3 + 3
10 = 5x2 +0.
So
。 god (35₁43) = 5.
5 = 35 - 3×10 = 3§ - 3 × ( 45 - 35) = 4×351-3×45
However, 35× (-3) € 10 (mod 45)

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