Question

Linear equations-Transposition of formulae Why does this turn into this

Answer 1

That's not correct. In general, you would have


`x^2=\frac5{a^2}\implies√(x^2)=\sqrt{\frac5{a^2}}\implies |x|=(\sqrt5)/(√(a^2))\implies |x|=(\sqrt5)/(|a|)`

Assuming
`a>0`, you have
`|a|=a`, so this turns into


`|x|=\frac{\sqrt5}a\implies x=\pm\frac{\sqrt5}a`