Answer
$2$
Work Step by Step
$2\sqrt (x-1)=x$
Squaring on both sides.
$4(x-1)=x^{2}$
$4x-4=x^{2}$
$x^{2}-4x+4=0$
By factoring,
$(x-2)(x-2)=0$
$(x-2)^{2}=0$
$x-2=0$
$x=2$
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