Congratulations to all of you who have built your own Origami Twisted Tower!! :D
You are clearly THE BEST!!
If you want to download the pictures with better quality, use the links below:
Origami Twisted Tower 3ºAD
Origami Twisted Tower 3ºCD
Now that it seemed we knew everything related to equations, a new menace
is plotting against the life on Earth! This time a Crazy Maths teacher has
built an algebraic bomb which has the power to erase every living creature from
the surface of our planet. Only a reckless hero as Euler Piruleta has the
bravery to try to deactivate it...
The problem is that he needs to get 12
codes which are the solution for some
4^{th} degree equations to deactivate the bomb, but he only studied
2^{nd} order equations in the high school (at this moment, he wishes his former teacher had taught him how to
solve more equations, but it is too late..).
Euler needs desperately your help!! Will
you help him to solve these 4^{th} degree equations?
We have studied how to solve first and second
order equations. Trying to solve a 3^{rd} order equation with a
formula may bring about the most terrible operations you have ever imagined, as
long as the formulas to get the 3 solutions of an equation like $ax^{3}+bx^{2}+cx+d=0$ (where a, b, c, d are real numbers)
are:
It has been proved that there is no possible formula
for the general equation of degree 4, but it’s
quite interesting that some 4^{th} order equations can be solved easily
transforming them into 2^{nd} order equations. These
equations are called Biquadratic Equations.
Try to solve
the following biquadratic equations to get the codes Euler Piruleta needs to
deactivate the bomb. Write the 12 codes
you get in the chart below… is the only way of deactivating the bomb!!!
a) $x^{4}10x^{2}+9=0$ b) $x^{4}+3x^{2}+2=0$ c) $4x^{4}17x^{2}+4=0$
The Bomb’s Codes

Nº
1

Nº
2

Nº
3

Nº
4

Nº
5

Nº
6

Nº
7

Nº
8

Nº
9

Nº
10

Nº
11

Nº
12













Note: if one code is not a real number, you must enter #.
The instructions to solve these equations can be downloaded here! C'mon, it shouldn't take you any longer than 15 minutes to help poor Euler Piruleta! :D
Deadline: January the 25th. You can either send me an email with the 12 codes or give a handwritten copy next week :)
EXTRA INFORMATION
 Juan has been the winner of the Euler Piruleta's Face contest!! Therefore, he has been awarded with 2 challenge positives!
 Belén, Carlos and Iñaki have been incredible runnerups, so they have been awarded with 1 challenge positive!
 Iñaki, Jorge, Iván and Tania have a new challenge positive for the Second Order Equations Formula!
 Some music for the weekend: you should know that some of the most famous songs nowadays are versions of songs from the 80's. Here is one fine example
Pitbull feat. Christina Aguileara Vs. AHa
I wonder which version you prefer... :P
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