x • (1+2+3+...+ 100) = 60 600​

Răspuns:

x • (1+2+3+...+ 100) = 60 600​

x·[100·(100+1)]/2=60600

x·5050=60600

x=60600:5050

x=12

Răspuns:  [tex]\red{~\bf x = 12~}[/tex]

Explicație pas cu pas:

[tex]\bf x \cdot \big(1+2+3+...+ 100\big) = 60~600[/tex]

[tex]\bf x \cdot \big[100\cdot\big(1+ 100\big):2\big] = 60~600[/tex]

[tex]\bf x \cdot \big(100\cdot101:2\big) = 60~600[/tex]

[tex]\bf x \cdot \big(50\cdot101\big) = 60~600[/tex]

[tex]\bf x \cdot 5~050 = 60~600~~~~~~\bigg|:5~050[/tex]

[tex]\red{\underline{~\bf x = 12~}}[/tex]