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The question I couldn't get right in your previous challenge was x²+x+6, I still can't work this one out. Can you break this one down for me as it's slightly different to the one in your last post.

The next challenge.

1) x²+7x+6

= (x+1)(x+6)

= x²+6x+x+6

= x²+7x+6

2) x²+10x+21

= (x+3)(x+7)

= x²+7x+3x+21

= x²+10x+21

Without sounding too confident, these were fairly easy. You've still got me beat by your x²+x+6.

If I remember correctly, the questions you have given me are called trinomials, and by simplifying them into two brackets, I have factorised them. Are they then called quadratics once I have two sets of brackets with two terms in each? It makes sense in my head, 3 terms in trinomials and 4 terms in quadratics. Is this correct?

FV=500(1+0.08)^6

If a value increases with 8% then it's value is multiplied by 1.08.

500 *1.08⁶ ≈ 793

@@ End of Day Wrap   Wed 21/1/15     Sydney, Australia      Time 3:00 am  (Really thurs morn)

Hi all,

Our tenacious answerers today were geno3141, CPhill, Kitty<3, Tenacius, Sasini, Alan, Tetration, Redsox34, Heureka, Jillybean, bootsieCat, Math_Idiot_lol and Christianrocket23.  Thanks all   

Interest posts:

1) I'm a dancing dinosaur  ROF LOL     

Thurs 22/1/15

1)  Why isn't anyone answering our questions     

In exponential form, we have

10^.74 = x = about 5.5

no lol xsyyyy

who knows anymore

Yes maybe it is our ghost is causing that problem.

No our ghost is benevolent.  

It's the troll.  

It may not be on purpose, Chris and I  think that the troll  has CDD (Contagious Dumbness Disease)  Chris thinks he caught his off the troll!

Have you met our troll or our ghost yet Tetrations?   Don't worry, you will!

We have a whole magical kingdom here.   I am Queen Guinevere and CPhill, Allan and Geno are my valiant knights!  Kitty is the princess.  We have many other characters here as well.  Our Doctor (Morgan Tudd he be) has a problem with the drink I think.  He is rarely in attendance.  And King Arthur is off fighting in the Crusades.  He is all powerful but his face is rarely seen within these walls.

1/60 * 100%

1/6 * 10%

10/6%

5/3%

1.66....%

1.67%

that is the answer. we can short that answer for 2 decimal.

No prob.....

Thanks alot dude!  

or if your taking the idiot test 22 or if your copying the vine 21

$${\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}} = {\mathtt{4}} = \tiny\text{Error: }$$

HAHAHAHA!!!!....

[ Maybe heureka caught a small case of CDD, too .....after all...the troll works in mysterious ways !!! ]

Reflecting a point across the x axis just changes the sign on the x coordinate......so...(-1, 5) becomes (1, 5)

Yes makes sense :)

depends on the calculator there should be a 2nd button on this calculaot the shift key and otheres it on the on button

NO You are NOT fired Heureka.

Chris has CDD (he told me so)  so DO NOT pay any attention to him!!

LOL!!!!!

Let N be the number....we have....

(5/7) N =  15   multiply both sides by 7/5

N = 15 (7/5)  = 21

nothing would be wrong with it if it was 435 instead of 415 :)

The 2 here are correct and the first one on the other  thread is also correct.

When you cross reference threads it might be a good idea to do it in two directions - not just one :)

So I know know that you can pull out common factors to factorise but you do not know how to do quadratics.

quadratics fall into a number of different types so lets look at the easiest ones

first I am going to expand and then simplify this

$$\\(x+2)(x-3)\\
=x(x-3)+2(x-3)\\
=x^2-3x+2x-6\\
=x^2-x-6\\$$

Now I  want to go the other direction and factorise.

$$\\x^2-x-6\\
=x^2-1x-6$$

Now I need 2 numbers that multiply to -6 and add to -1

Since they mult to give a negative number, one must be pos and one must be neg.

Since the add to a neg, the 'bigger' one must be the neg.

Must be -3 and +2         -3*2=-6         -3+2=-1      that works  :)

the answer is 

$$(x-3)(x+2)$$

------------------------------------------------------------------------------

Your turn Tenacious  

Factorise    

$$\\1) x^2+7x+6\\
2) x^2+10x+21$$

All the time, Tetration....it must be a site flaw....I don't ever see this on any other sites that I frequent...."ghosts in the machine" ???

ln(x) = 1

e^ln(x) = e¹   

x = e           Because e^ln(w) = w