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x² + y - 4  =  0

If you want to solve for x:

Get the x-term alone on one side:

x²  =  4 - y

Then find the square root of both sides; remember that there are two answers:

x  =  √(4 - y)     or     x  =  -√(4 - y)  

However, you don't need to do this to find the range ...

Solving for y:  y  =  x² + 4

For any value of x, y must be at least 4 and can be any number greater than 4, so the range consists of  y  ≥  4.

$${{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{y}}{\mathtt{\,-\,}}{\mathtt{4}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\sqrt{{\mathtt{4}}{\mathtt{\,-\,}}{\mathtt{y}}}}\\
{\mathtt{x}} = {\sqrt{{\mathtt{4}}{\mathtt{\,-\,}}{\mathtt{y}}}}\\
\end{array} \right\}$$

5(2x - 6)  =  3x - 2

First: remove parentheses:

10x - 30  =  3x - 2

Then:  get all the x-terms to one side; subtract 3x from both sides:

7x - 30  =  -2

Now:  get all the numbers to the other side; add 30 to both sides:

7x  =  28

Finally, divide both sides 7:

x  =  4

$$\underset{\,\,\,\,{\textcolor[rgb]{0.66,0.66,0.66}{\rightarrow {\mathtt{x}}}}}{{solve}}{\left(\begin{array}{l}{\mathtt{8}}{\mathtt{\,\small\textbf+\,}}{\mathtt{x}}={\mathtt{16}}\\
{\mathtt{x}}={\mathtt{16}}{\mathtt{\,-\,}}{\mathtt{8}}\\
{\mathtt{x}}={\mathtt{8}}\end{array}\right)}$$

No ... Lol 

i thought you were referring to ASAPScience but you were talking about CPhill... Lol, so i wrote something else down.

Melody is this algebra?

Scratch what?  Are you itchy?    LOL :)

80 years but some body may live 90-124 years old

Scratch that.

WOW that was very clever of him :))

You cannot have wine with Rosala, you are both too young!

It is really non-alcoholic rose wine Roasala, the best that the werewolf dollar can buy!

(x+3) (x-1)

Take the first term from the first bracket  that is   x and times it by the second bracket.  x(x-1)

now take the second term from the first bracket that is +3 and times it by the second bracket.  +3(x-1)

so you have

$$\\ x(x-1) +3(x-1)\\
=x^2-1x+3x-3\\
=x^2+2x-3$$

I was watching ASAPScience, then i went into maths question... lol

You didn't specify the amount of seconds.

CPhill's Amazing Answers

Check it out, MG ::

 (1 + 1 + 1) ! = 3! = 6

 (2 + 2 + 2) = 6

 (3 + 3 - 3) ! = (3 - 0) ! = (3) ! = 6

 (4 + 4 - √4) = (8 - 2) = 6

 (5 + 5/5) = (5 + 1) = 6

 (7 - 7/7) = (7 - 1 ) = 6 

8 - log√8 8 = 8 - 2 = 6 

(9 + 9) / √9 = (18)/3 = 6 

Youtube, i didn't see the factorial part i felt so dumb when i didn't realise it but all the answers make sence now :)

I enjoyed it.

But CPhill  is amazing he got log into it.

I forgot to mention, Rosala, this blood bank has a very rare fine reserve vintage of AB negative blood wine. They always properly decant it –no clots. :)

Here is my answers


(0!+0!+0!)!=6
(1+1+1)!=6
2+2+2=6
3*3-3=6
√4+√4+√4=6
5/5+5=6
6+6-6=6
7-7/7=6
√(8/8+8)=6
√9*√9-√9=6

I didn't get them all out - too busy with other things  - that is my excuse and I am sticking with it :))

Were they the you tube answers, Dragonlance's answers or your own answers?

Just strolling through Youtube and found it I enjoyed it a lot too.

Melody, did you get the same results as me?

I guess 3! was the easiest way to get 6.

Oh come on Rosala, you are hurting the wolf's feelings and we are all waiting with baited breath to find out how your date at the blood bank goes, he is so romantic ....     :)

And ....   SevenUp is right.  I bet you would be a really beautiful wolf. Wolves are very majestic you know :/

MG's number puzzle:      Thanks MG :)

GOAL:

Your Goal is to make all nine expressions equal six using three numbers starting  with 3, 1's, to 3, 9's.

DISPLAY:

1 1 1= 6

2 2 2 = 6

3 3 3 = 6

4 4 4= 6

5 5 5 = 6

6 6 6 = 6

7 7 7 = 6

8 8 8 = 6

9 9 9 = 6

RULES: 

.You can only put in maths symbols that don't include numbers (E.G Powers are NOT allowed)

.Message me your final answer (if you want)

.If you have finished comment that you're done no you're answer as it could spoil for others

NOTE:

.There are more than one answer

Answers:

http://web2.0calc.com/questions/fun-maths-question

This is really cool MathsGod and and Dragonlance :))

There are a lot of 3! in there  

I shall add it to our puzzles.

Hahahahah atan

That is cool Heureka