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2020-10: [4-4: (8-XX2)] +21= 2036​

Răspuns :

Răspuns:

Explicație pas cu pas:

2020-10: [4-4: (8-XX2)] +21= 2036

10: [4-4: (8-XX2)]=2041-2036

10: [4-4: (8-XX2)]=5    

2:4 [1-1:(8-2x)]=1

1-1:(8-2x)]=2   ⇒-1:(8-2x)=1    ⇒2x-8=1     2x=9    ⇒x=9/2

Răspuns: [tex]\bf \red{\underline{x= 3}}[/tex]

Explicație pas cu pas:

Vom folosi metoda mersului invers pentru rezolvarea exercițiului

[tex]\bf 2020-10:\big[4-4:\big(8-x\cdot2\big)\big]+21=2036[/tex]

[tex]\bf 2020-10:\big[4-4:\big(8-x\cdot2\big)\big]=2036-21[/tex]

[tex]\bf 2020-10:\big[4-4:\big(8-x\cdot2\big)\big]=2015[/tex]

[tex]\bf 2020=2015+10:\big[4-4:\big(8-x\cdot2\big)\big][/tex]

[tex]\bf 2020-2015=10:\big[4-4:\big(8-x\cdot2\big)\big][/tex]

[tex]\bf 5=10:\big[4-4:\big(8-x\cdot2\big)\big][/tex]

[tex]\bf 5\cdot \big[4-4:\big(8-x\cdot2\big)\big] = 10[/tex]

[tex]\bf \big[4-4:\big(8-x\cdot2\big)\big] = 10:5[/tex]

[tex]\bf 4-4:\big(8-x\cdot2\big) = 2[/tex]

[tex]\bf 4=2+4:\big(8-x\cdot2\big)[/tex]

[tex]\bf 4-2=4:\big(8-x\cdot2\big)[/tex]

[tex]\bf 2=4:\big(8-x\cdot2\big)[/tex]

[tex]\bf 2\cdot\big(8-x\cdot2\big) =4[/tex]

[tex]\bf \big(8-x\cdot2\big) =4:2[/tex]

[tex]\bf 8-x\cdot2 =2[/tex]

[tex]\bf 8=2+x\cdot2[/tex]

[tex]\bf 8-2=x\cdot2[/tex]

[tex]\bf 6=x\cdot2[/tex]

[tex]\bf x=6:2[/tex]

[tex]\bf \red{\underline{x= 3}}[/tex]

==pav38==

Baftă multă !