Ответ:
Объяснение:
[tex]\displaystyle\\\\1.\\\\\frac{\sqrt[4]{x} +2\sqrt[4]{y} }{\sqrt[4]{x} } =2\\\\\frac{\sqrt[4]{x} }{\sqrt[4]{x} } +\frac{2\sqrt[4]{y} }{\sqrt[4]{x} } =2\\\\1+2*\sqrt[4]{\frac{y}{x} } =2\\\\2*\sqrt[4]{\frac{y}{x} } =1\ \ \ \ \ \ \ \ \sqrt[4]{\frac{y}{x}}=0,5 \\\\(2*\sqrt[4]{\frac{y}{x} } )^4=1^4\\\\2^4*\frac{y}{x}=1 \\\\\frac{x}{y} =16.\\\\[/tex]
[tex]\displaystyle\\2.\\\\\frac{2\sqrt{y}-2\sqrt[4]{xy} }{\sqrt{x} -\sqrt[4]{xy} } =\frac{2\sqrt[4]{y}*(\sqrt[4]{y} -\sqrt[4]{x}) }{\sqrt[4]{x}*(\sqrt[4]{x} -\sqrt[4]{y} ) } =\frac{2\sqrt[4]{y}*(\sqrt[4]{y} -\sqrt[4]{x}) }{-\sqrt[4]{x}*(\sqrt[4]{y} -\sqrt[4]{x} ) } =-2*\frac{\sqrt[4]{y} }{\sqrt[4]{x} }=\\\\\\=-2*\sqrt[4]{\frac{y}{x} } =-2*0,5=-1.[/tex]
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Verified answer
Ответ:
Объяснение:
[tex]\displaystyle\\\\1.\\\\\frac{\sqrt[4]{x} +2\sqrt[4]{y} }{\sqrt[4]{x} } =2\\\\\frac{\sqrt[4]{x} }{\sqrt[4]{x} } +\frac{2\sqrt[4]{y} }{\sqrt[4]{x} } =2\\\\1+2*\sqrt[4]{\frac{y}{x} } =2\\\\2*\sqrt[4]{\frac{y}{x} } =1\ \ \ \ \ \ \ \ \sqrt[4]{\frac{y}{x}}=0,5 \\\\(2*\sqrt[4]{\frac{y}{x} } )^4=1^4\\\\2^4*\frac{y}{x}=1 \\\\\frac{x}{y} =16.\\\\[/tex]
[tex]\displaystyle\\2.\\\\\frac{2\sqrt{y}-2\sqrt[4]{xy} }{\sqrt{x} -\sqrt[4]{xy} } =\frac{2\sqrt[4]{y}*(\sqrt[4]{y} -\sqrt[4]{x}) }{\sqrt[4]{x}*(\sqrt[4]{x} -\sqrt[4]{y} ) } =\frac{2\sqrt[4]{y}*(\sqrt[4]{y} -\sqrt[4]{x}) }{-\sqrt[4]{x}*(\sqrt[4]{y} -\sqrt[4]{x} ) } =-2*\frac{\sqrt[4]{y} }{\sqrt[4]{x} }=\\\\\\=-2*\sqrt[4]{\frac{y}{x} } =-2*0,5=-1.[/tex]