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sqrt(4*x^2)*sqrt(13/52x^2 = x^2

 19.10.2016
 #1
avatar+8564 
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sqrt(4*x^2)*sqrt(13/52x^2 = x^2

 

\(\sqrt{4x^2}\times \sqrt{\frac{13}{52x^2} } =x^2\)

 

\(v=x^2\)   

 

\(\sqrt{4v}\times \sqrt{\frac{13}{52v} } =v\)

 

\(4v\times \frac{13}{52v}=v^2\)          [ * 52v

 

\(52v=52v^3 \)

 

\(v^2=1\)

 

\({\color{blue}x=\pm1}\)     Gruß asinus :- )  laugh  !

 

\(\sqrt{4x^2}\times \sqrt{\frac{13}{52x^2} } =x^2\)  

\(\sqrt {4(-1)^2}\times \sqrt{\frac{13}{52(-1)^2} } =(-1)^2\)

         2        \(\times\)          \(\frac{1}{2}\)        \(= \ \ 1\) 

 

\(\sqrt {4*1^2}\times \sqrt{\frac{13}{52*1^2} } =1^2\)

         2     \(\times\)         \(\frac{1}{2}\)     \(= 1\)

.
 19.10.2016
bearbeitet von asinus  19.10.2016
 #2
avatar+10536 
+5

So kann man die Aufgabe auch rechnen.

laugh

 19.10.2016

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