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solve the equation for x. if a solution is extraneous, be sure to identify it in your final answer.

x=-2 (the actual solution)

x=-5 (the extraneous solution)

Step-by-step explanation:

First step is to isolate the radical part (the part with the square root).

So we will add 4 on both sides first:

To get rid of square we are going to square both sides:

We are going to expand right hand side (you can use "F.O.I.L":

Subtract x on both sides and subtract 6 on both sides:

Combine like terms:

We will now factor:

(Since 2(5)=10 and 2+5=7)

Set both factors equal to 0:

x+2=0 or x+5=0

Solve first equation by subtracting 2 on both sides to obtain x=-2.

Solve second equation by subtracting 5 on both sides to obtain x=-5.

Now let's check to see if these are both actually indeed solutions to the equation we began with:

for :

is a true equation so is indeed a solution.

for :

is false so is what we call the extraneous solution.

-5 [Extraneous Solution], -2 = x

Step-by-step explanation:

I am joyous to assist you anytime.

**Whenever we are dealing with extraneous solutions, we always want the NON-NEGATIVE roots.

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation:

x=6 and x=3

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