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Abstract Algebra

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Moderate

Bezout's Theorem without Computation

ABSALG-61SLQQ

Without using the Euclidean algorithm, choose from the answer choices below the numbers $a$ and $b$ such that $17a+45b=1$.

A

$a=8, b=-4$

B

$a=22, b=-11$

C

$a=3, b=8$

D

$a=8, b=-3$