Simple looking equation | But be careful | Interesting

[@amandagregg9368]

Very drawn-out solution when you can just simplify the LHS to be x^(-1/2) = 3, which then implies x = 1/9. Two steps.

[@ChidexOnlineMathClass01]

Nice

[@bluefandango]

i don't quite see the difficulty. plus x>0 is more precise than x≠0

[@ChidexOnlineMathClass01]

@@bluefandango
The question is not difficult.

[@batatawrez]

x/sqrt(x) = 3 condition: x > 0
3x = sqrt(x)
9x^2 = x
9x^2 - x = 0
x (9x - 1) = 0
x=0 unacceptable 9x - 1 = 0
x = 1/9 acceptable

[@ChidexOnlineMathClass01]

Excellent

[@batatawrez]

In the first line I meant sqrt(x)/x = 3 but the rest is fine

[@GeoVars]

1/9

[@ChidexOnlineMathClass01]

Excellent

[@arnauldhanset7242]

x^(-1+1/2) = 3

[@ChidexOnlineMathClass01]

How ?

[@arnauldhanset7242]

@@ChidexOnlineMathClass01 exactly the same as sqrt(2)/2 = 1/sqrt(2)... x^1/2 * x^-1 = x^-1/2