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Determinați numerele ab, dacă 24 - [35 - (18 – 2×a×b: 4)]= 6.DAU COROANA!!!​


Răspuns :

Răspuns:

24 - [35 - (18 – 2ab: 4)]= 6

35 - (18 – 2ab: 4)=24-6

18-2ab: 4=35-18

2ab:4=18-17

2ab=1·4

ab=4:2=>ab=2

Răspuns: [tex]\red{\large\boxed{\bf (a,b) \in \big\{\ (1,~2);~(2,~1) \big\}}}[/tex]

Explicație pas cu pas:

[tex]\bf 24 - [35 - (18-2\cdot a\cdot b: 4)]= 6[/tex]

[tex]\bf 24 - 6 =[35 - (18-2\cdot a\cdot b: 4)][/tex]

[tex]\bf 18 =35 - (18-2\cdot a\cdot b: 4)[/tex]

[tex]\bf 18+ (18-2\cdot a\cdot b: 4)=35[/tex]

[tex]\bf (18-2\cdot a\cdot b: 4)=35-18[/tex]

[tex]\bf 18-2\cdot a\cdot b: 4=17[/tex]

[tex]\bf 18=17+2\cdot a\cdot b: 4[/tex]

[tex]\bf 18-17=2\cdot a\cdot b: 4[/tex]

[tex]\bf 1=2\cdot a\cdot b: 4~~~\bigg|\cdot 4[/tex]

[tex]\bf 4=2\cdot a\cdot b~~~\bigg|:2[/tex]

[tex]\bf 2=a\cdot b \implies \red{\large\boxed{\bf (a,b) \in \{\ (1,~2);~(2,~1) \}}}[/tex]

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