Question

Find the solution of the square root of the quantity of x plus 3 plus 4 equals 6, and determine if it is an extraneous solution

Answer 1

x=1 non extraneous i hope this helps

Answer 2

`x=1`

Explanation:

We have been given an equation
`√(x+3)+4=6`. We are asked to find the solution of our given equation.

`√(x+3)+4-4=6-4`

`√(x+3)=2`

Now, we will square both sides of our given equation.

`x+3=2^2`

`x+3=4`

`x+3-3=4-3`

`x=1`

To see whether
`x=1` is an extraneous solution or not, we will substitute
`x=1` in our given equation as:

`√(1+3)+4=6`

`√(4)+4=6`

`2+4=6`

`6=6`

Since both sides of our given equation are equal, therefore,
`x=1` is a solution for our given equation.