Question

va rog din suflet ajutor!!!
Determinati x stiind ca:::

2x+1 | 7x+5
3x+2 | 4x+5

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Answer 1

Explicație pas cu pas:

(2x+1) | (7x+5) <=> (2x+1) | 2×(7x+5)

(2x+1) | (14x+10) <=> (2x+1) | [7×(2x+1) + 3]

(2x+1) | 7×(2x+1) => (2x+1) | 3

=> (2x + 1) ∈ {1;3} |-1

=> 2x ∈ {0;2} |:2

=> x ∈ {0;1}

.

(3x+2) | (4x+5) <=> (3x+2) | 3×(4x+5)

(3x+2) | (12x+15) <=> (3x+2) | [4×(3x+2)+7]

(3x+2) | 4×(3x+2) => (3x+2) | 7

=> (3x+2) ∈ {1;7} |-2

=> 3x ∈ {-1;5}

=> x ∈ Ø