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

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Answer 1 · 2016-06-04T06:58:15

x = 3.

$sqrt(x+1)=sqrt(x-2)=3$ . Squaring,

$(x+1)+(x-2)+2sqrt((x+1)(x-2))=9$ . Simplifying,

$sqrt((x+1)(x-2))= (5-x)$ . Squaring and simplifying,

x=3.

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