Toán Lớp 6: Tìm số nguyên x sao cho :
5x + 7 chia hết cho x – 2
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Toán Lớp 6: Tìm số nguyên x sao cho :
5x + 7 chia hết cho x – 2
Comments ( 1 )
5x + 7 \vdots x – 2
x – 2 \vdots x – 2
=> [(5x + 7) – 5(x – 2)] \vdots x – 2
=> [(5x + 7) – (5x – 10)] \vdots x – 2
=> 17 \vdots x – 2
=> x – 2 in Ư(17) = {1; -1; 17; -17}
=> x – 2 in {1; -1; 17; -17}
=> x in {3; 1; 19; -15}
Vậy x in {3; 1; 19; -15}