# How do you solve #2sqrtx +1= 6/sqrtx#?

##### 1 Answer

#### Answer:

Reformulate as a quadratic with possible spurious solutions and solve to find

#### Explanation:

Multiply both sides by

Subtract

Square both sides to get:

Note that squaring may introduce spurious solutions, so need to check later.

Subtract

Use the quadratic formula to find:

That is

If

But

So

If

and

So the solution of the original equation is