Задача 59886 ‹ — Ы e B R я ...

60ab7a7da1c50e1d30434b37

24.05.2021 13:18:09

‹ — Ы e B R я

5f3ea7e3faf909182968ddd9

24.05.2021 14:02:39

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Замена переменной:

[m]4^{x}=t[/m]

[m]16^{x}=t^2[/m]

Неравенство:

[m]t-9+\frac{11t-52}{t^2-7t+10} ≤ \frac{1}{t-5}[/m]

[m]t^2-7t+10=(t-2)(t-5)[/m]

[m]t-9+\frac{11t-52}{(t-5)(t-2)} - \frac{1}{t-5} ≤ 0[/m]

[m]t-9+\frac{11t-52-t+2}{(t-5)(t-2)} ≤ 0[/m]

[m]t-9+\frac{10t-50}{(t-5)(t-2)} ≤ 0[/m]

[m]t-9+\frac{10(t-5)}{(t-5)(t-2)} ≤ 0[/m]


[m]t-9+\frac{10}{(t-2)} ≤ 0[/m]

t ≠ 5

[m]\frac{(t-9)(t-2)+10}{(t-2)} ≤ 0[/m]

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