Задача 63711 решить (1-(к/50)^(16/25)...

6182340a3d5d7c0560db11d7

20.03.2022 19:38:37

решить (1-(к/50)^(16/25)

5f3ea7e3faf909182968ddd9

20.03.2022 21:58:38

★

[m]A=(1+\sqrt[1,25]{\frac{k}{50}})(1-\sqrt[1,25]{\frac{k}{50}})[/m]

По формуле
(a–b)(a+b)=a2–b2

[m]A=1^2-(\sqrt[1,25]{\frac{k}{50}})^2[/m]

[m]A=1-({\frac{k}{50}}^{\frac{1}{1,25})^2[/m]

[m]1,25=\frac{5}{4}[/m]

[m]A=1−(\frac{k}{50})^{\frac{2}{\frac{5}{4}}}[/m]

[m]A=1−(\frac{k}{50})^{\frac{8}{5}}[/m]