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Number Theory

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Moderate

Solving Quadratic Congruence

NUMTH-JH8ZSB

Which of the following are solutions to the following congruence equation? Select ALL that apply.

$$ 2x^2 +5x -7 \equiv 0 \ \mathrm{mod} \ 101 $$

A

$x\equiv 1 \ \mathrm{mod} \ 101$

B

$x\equiv 2 \ \mathrm{mod} \ 101$

C

$x\equiv 45 \ \mathrm{mod} \ 101$

D

$x\equiv 46 \ \mathrm{mod} \ 101$

E

$x\equiv 47 \ \mathrm{mod} \ 101$