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Răspuns:

4600:[10*(x-10)+10]=10

[10•(x-10)+10]=4600:10

10•(x-10)+10=460

10•(x-10)=460-10

10•(x-10)=450

(x-10)=450:10

x-10=45

x=45+10

x=55

5⁴:5²+5×(55¹-x:5)=5³

5²+5×(55-x:5)=125

25+5×(55-x:5)=125

5×(55-x:5)=125-25

5×(55-x:5)=100

(55-x:5)=100:5

55-x:5=20

x:5=55-20

x:5=35

x=35×5

x=175

Răspuns:

[tex]a) 4600:[10*(x-10)+10]=10 \\

4600:(10x-100+10)=10

4600:(10x-90)=10 \frac{4600}{10x - 90} = 10 \\ \frac{4600}{10(x - 9)} = 10 \\ \frac{460}{x - 9} = 10 \\ \\ 460 = 10(x - 9) \\ 46 = x - 9 \\ - x = - 9 - 46 \\ - x = - 55 \\ x = 55[/tex]

Explicație pas cu pas:

[tex]b) 5^4:5^2+5*(55^1-x:5)=5^3 \\5 ^{2} + 5(55 - \frac{1}{5} x) = 125 \\ 25 + 275 - x = 125 \\ 300 - x = 125 \\ - x = 125 - 300 \\ - x = - 175 \\ x = 175[/tex]