a)
[tex]\frac{\sqrt{102,01}+x}{2x}=\frac{7,1}{14}[/tex]
[tex]\frac{10,1+x}{2x}=\frac{7,1}{14}[/tex]
[tex]=>14(10,1+x)=2x*7,1[/tex]
[tex]141,4+14x=14,2x[/tex]
[tex]0,2x=141,4[/tex]
[tex]x=141,4:0,2[/tex]
[tex]x=1414:2[/tex]
[tex]x=707[/tex]
b)
[tex]\frac{(\sqrt{2})^{4}*2^{-6}}{(\frac{1}{2})^{2}*2^{-2}}=x*(\frac{1}{\sqrt{2}})^{3}[/tex]
[tex]\frac{4*\frac{1}{2^{6}}}{\frac{1}{2^{2}}*(\frac{1}{2})^{2}}=x*(\frac{1}{\sqrt{2}})^{3}[/tex]
[tex]\frac{\frac{1}{2^{4}}}{\frac{1}{2^{4}}}=x*\frac{1}{2\sqrt{2}}[/tex]
[tex]\frac{1}{2^{4}}*\frac{2^{4}}{1}=x*\frac{1}{2\sqrt{2}}[/tex]
[tex]1=x*\frac{1}{2\sqrt{2}}[/tex]
[tex]x=1*\frac{2\sqrt{2}}{1}[/tex]
[tex]x=2\sqrt{2}[/tex]
