Question

Solve the radical equation 3/(√x+3)=1.Be sure to check for extraneous solutions.

Answer 1

The solution to the equation is x = 0.

Explanation:

Hi there!

First, let´s write the equation:

3/(√x+3)=1

To solve the equation, let´s start multiplying both sides by (√x+3)

3 = √x+3

subtract 3 to both sides of the equation

0 = √x

0 = x

Now, let´s check the solution:

3/(√x+3)=1

x = 0

3/(√0 + 3) = 1

3/3 = 1

1 = 1

Then, x = 0 is the solution to the equation.