Question

Solve for x.

What is the root? 3*sqrt(x) + 1 = 7 If there is no root, choose none.

4
7
7 1/9
none

Answer 1

Hi there!


`3 √(x) + 1 = 7`
Let's solve this equation step by step! In order to find the solution, we must get our x isolated.

First subtract 1.

`3 √(x) = 6`

Now divide both sides by 3.

`√(x) = 2`

And finally square both sides.

`( √(x) ) {}^(2) = 2 {}^(2) \\ x = 4`

Check solution

`3 √(4) + 1 = 3 * 2 + 1 = 6 + 1 = 7`

This makes the original eqiation true.
Hence, our answer is x = 4.

~ Hope this helps you!