Question

@waterineyes

Answer 1

Find the solution of \[4\sqrt{x+2}=-16\]

Answer 2

Start by squaring both the sides.. :)

Answer 3

We both will confuse her.. Now she will think what to do.. :P

Answer 4

oh gosh. guys... <_<

Answer 5

I can try.

Answer 6

Okay @Jhannybean I think you are better person than me to teach.. :P

Answer 7

Or @One098 you want ONLY YOUR WATER to continue?? :P

Answer 8

LOL sure

Answer 9

Okay, we go according to beans said..
Divide by 4 first both the sides..

Answer 10

So the 4 cancels on the left then I add it next to the -16?

Answer 11

Add?

Answer 12

\[\frac{4 \sqrt{x+2}}{4} = \frac{-16}{4}\]

Answer 13

No not add as in something plus something... Yes, that^

Answer 14

What you will get now?

Answer 15

We have \[\sqrt{x+2}=\frac{ -16 }{ 4 }\]

Answer 16

Can you simplify right hand side?

Answer 17

\[\sqrt{x+2}=-4\]

Answer 18

Now square both the sides..

Answer 19

\[(x+2)(x+2)=16\]

Answer 20

you sure?

Answer 21

-16

Answer 22

Suppose you have a number for example : \(4\)..
When we square it, we do like : \(4 \times 4\), okay?

Answer 23

\[(\sqrt{x})^2 \ne (x)(x)\]

Answer 24

Yes, @waterineyes

Answer 25

So when you square that :
\[\sqrt{x+2} = \sqrt{x+2} \times \sqrt{x+2}\]

Answer 26

Right??

Answer 27

yes

Answer 28

And :
\[\sqrt{a} \times \sqrt{a} = a\]

Answer 29

So, on left hand side on square, what you get?

Answer 30

yes

Answer 31

you got yes?

Answer 32

From squaring mathematical terms, you got English words?

Answer 33

No >_< This thing is messed up.

Answer 34

Wait..
Here are we now:
\(\sqrt{x+2} = -4\), Okay?

Answer 35

Yes.

Answer 36

Now I said to square both the sides:
\[(\sqrt{x+2})^2 = (-4)^2 \\ \sqrt{x+2} \times \sqrt{x+2} = (-4) \times (-4)\]
All good till now?

Answer 37

Yes .

Answer 38

Now I also said: \(\sqrt{a} \times \sqrt{a} = a\)

Answer 39

Ok.

Answer 40

When you square, square root(opposite of square), gets cancel thereby giving you original number..

Answer 41

\[\sqrt{4} \times \sqrt{4} = 4\]

Answer 42

Ok.

Answer 43

Likewise, on left hand side, what you will get?

Answer 44

\(\sqrt{x+2} \times \sqrt{x+2} = ??\)

Answer 45

\[\sqrt{x+2}\]

Answer 46

The square root \(\sqrt{...}\), will not get cancelled?

Answer 47

Oh yes so its x+2

Answer 48

That black is not looking good to me, let us make that colorful.. :P