# How do you solve #5+(sqrt(x+2))=8+(sqrt(x-7))#?

##### 1 Answer

#### Explanation:

And, here is a **Word of Caution** : **We can not cancel out (x-7) directly from both sides without checking whether (x-7)=0.**

The reason behind this is, in case, **cancelling it** directly from both sides means that we are **dividing** both sides **by 0,** which is **not possible!**

Accordingly, we have to consider two cases :

In this case, we see that

In this case, now we can divide both sides by

**impossibility**

Hence,

**Another way** to solve it, is, to square

How's that? Enjoyable Maths.!