# How do you solve #3+sqrt[x+7]=sqrt[x+4]# and find any extraneous solutions?

##### 2 Answers

#### Answer:

the equation is impossible

#### Explanation:

you can calculate

that's

that's impossible because a square root must be positive

#### Answer:

No real roots of

#### Explanation:

First to solve this equation we think how to take off the square root, by squaring both sides:

Using the binomial property for squaring of sum

Applying it on both sides of the equation we have:

Knowing that

Taking all the know a and unknowns to the second side leaving the square root on one side we have:

Since square root equal to a negative real number that is

impossible in

Knowing that i^2=-1 that means

Squaring both sides we have:

Therefore ,

So