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Solve contains wrong solution

Hello, I tried to following to find a maxima of a function:

var('t x');
maxima = solve([derivative(f,x)==0, derivative(f,x,2)<0],x)

And the solution sage spits out are:

[x == 1, -2 > 0],
[x == (t - 2)/t, -(t - 2)^2 + 2*(t - 2)*t - t^2 + 6 > 0]

I understand that sage cannot evaluate the validity of the second solution but the first one surely is no solution at all.

Why does it give me this solution or am I doing anything wrong?