How do you solve $1+ sqrt(x-3) = sqrt( x+2)$ ?

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Answer 1 · 2016-02-10T11:00:12

$x=7$

Square both sides

$(1+sqrt(x-3))^2=x+2$

$1+2sqrt(x-3)+cancel(x)-3=cancel(x)+2$

$2=sqrt(x-3)$

square both sides

$x=7$

How do you solve 1+ sqrt(x-3) = sqrt( x+2)1+ sqrt(x-3) = sqrt( x+2)?