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  • 02-05-2017
  • Mathematics
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Linear equations-Transposition of formulae Why does this turn into this

Linear equationsTransposition of formulae Why does this turn into this class=

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LammettHash
LammettHash LammettHash
  • 02-05-2017
That's not correct. In general, you would have

[tex]x^2=\dfrac5{a^2}\implies\sqrt{x^2}=\sqrt{\dfrac5{a^2}}\implies |x|=\dfrac{\sqrt5}{\sqrt{a^2}}\implies |x|=\dfrac{\sqrt5}{|a|}[/tex]

Assuming [tex]a>0[/tex], you have [tex]|a|=a[/tex], so this turns into

[tex]|x|=\dfrac{\sqrt5}a\implies x=\pm\dfrac{\sqrt5}a[/tex]
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