Question

Please help solve with steps

Answer 1

Please post the full problem.

Answer 2

I didn

Answer 3

Did

Answer 4

thanks

Answer 5

Can you see it

Answer 6

The first step is to isolate the square root
To do this, you subtract 2 from both sides
\[\Large 2+\sqrt{x+2}=2x\]
\[\Large 2+\sqrt{x+2}-2=2x-2\]
\[\Large \sqrt{x+2}=2x-2\]

Answer 7

What comes next?

Answer 8

hint: try to undo the square root

Answer 9

You have to square them each to undo the square root

Answer 10

X+2=(2x-2)

Answer 11

Hello

Answer 12

when you square (2x-2), you have to use FOIL

(2x-2)^2 = (2x-2)*(2x-2) = ???

tell me what you get

Answer 13

4x^2-8x+4

Answer 14

good

Answer 15

Is that right

Answer 16

so we have

x+2 = (2x-2)^2
turn into
x+2 = 4x^2-8x+4

Answer 17

Do you know how to solve x+2 = 4x^2-8x+4 ?

Answer 18

Do I subtract 2 from both sides or 4???

Answer 19

Idk

Answer 20

I'd get everything to one side

x+2 = 4x^2-8x+4
x+2-2 = 4x^2-8x+4-2
x = 4x^2-8x+2
x-x = 4x^2-8x+2-x
0 = 4x^2-9x+2
4x^2-9x+2 = 0

Answer 21

now use the quadratic formula to solve 4x^2-9x+2 = 0

Answer 22

Thanks

Answer 23

don't forget to check each possible solution back into the original equation

Answer 24

I have a question

Answer 25

I got

Answer 26

What would I simplify

Answer 27

what is the square root of 49?

Answer 28

7

Answer 29

so you'd have 9 plus/minus 7 all over 8

Answer 30

that breaks up into (9+7)/8 and (9-7)/8

simplify each

Answer 31

2 and 1/4

Answer 32

yes, those are the possible solutions

now check each possible solution with the original equation