# How do you solve #sqrt(x+4) +sqrt(2x-1)=3sqrt(x-1)#?

##### 1 Answer

#### Answer:

#### Explanation:

Before solving, let's determine the restrictions on the variable. A radical is undefined it the number inside is less than 0.

We must therefore set up an inequality and solve:

and

Solving each we get that

and

We must pick the largest of these, since if we pick one of the smaller ones the equation will become undefined. The largest is

In this case, two radicals are undefined. Now that we have defined any restrictions on the variable, we can proceed with solving. This can be started by squaring both sides

Since the radicals are both square roots, we can combine them in multiplication.

Checking both answers in the original equation, we find that only

Therefore, our solution set is

Hopefully this helps!