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

Answer:

$x=1$

Step-by-step explanation:

We have been given an equation $\sqrt{x+3}+4=6$. We are asked to find the solution of our given equation.

$\sqrt{x+3}+4-4=6-4$

$\sqrt{x+3}=2$

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:

$\sqrt{1+3}+4=6$

$\sqrt{4}+4=6$

$2+4=6$

$6=6$

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

Answer 2

X=1 non extraneous i hope this helps