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5 la puterea 4: 5 la puterea 2+5x(55 la puterea 1+x:5)=5 la puterea 2

Răspuns :

5² + 5x(55+x:5) = 5²

5x(55+x:5) = 0

55+x:5 = 0

x:5 = -55

x = -55x5

x = -275

Răspuns: [tex]\bf\red{\underline{x = -275}}[/tex]

Explicație pas cu pas:

[tex]\bf 5^{4} :5^{2} +5\cdot(55^1+x:5)=5^2[/tex]

[tex]\bf 5^{4-2} +5\cdot(55+x:5)=25[/tex]

[tex]\bf 5^{2} +5\cdot(55+x:5)=25[/tex]

[tex]\bf 25 +5\cdot(55+x:5)=25[/tex]

[tex]\bf 5\cdot(55+x:5)=25-25[/tex]

[tex]\bf 5\cdot(55+x:5)=0~~\bigg|:5[/tex]

[tex]\bf 55+x:5=0[/tex]

[tex]\bf x:5=-55~~~\bigg|\cdot5[/tex]

[tex]\bf\red{\underline{x = -275}}[/tex]