Question

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

Answer 1

x = 3.

Explanation:

`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.