Author Topic: How To Do Mathematics Fast  (Read 17813 times)

fdaray

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Re: How To Do Mathematics Fast
« Reply #80 on: November 20, 2008, 10:11:26 AM »
It's a tricky answer. yes you have proven. More....... pa.

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A Layman

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Re: How To Do Mathematics Fast
« Reply #81 on: November 20, 2008, 10:33:50 AM »
Kini bai, mental exercise pod ni less numbers, pero morag age problem  sad.

Mary's father has 5 children. He named his children from the eldest down as, Nana, Nene, Nini, and Nono. What is the name of his fifth child?

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fdaray

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Re: How To Do Mathematics Fast
« Reply #82 on: November 21, 2008, 09:58:56 AM »
Life is what you make.
Kon naa kay gisoksok, naa kay makuot.

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A Layman

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Re: How To Do Mathematics Fast
« Reply #83 on: November 21, 2008, 10:02:24 AM »
Nice try bai, but the answer is not Nunu but Mary as stated in the first sentence. What a catching question!

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A Layman

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Re: How To Do Mathematics Fast
« Reply #84 on: November 21, 2008, 10:22:44 AM »
Kini na sab...

A marathon race started at a normal pace within 30 minutes, but started to slow down afterwards. At 200 meters towards the finish line, every runner tried to grab positions to claim the prizes at stake. Let us just say that I was one of them.

Questions:

1. What was my last position in the race if I overtake the third runner in the line?
2. What was my last position in the race if I overtake the second runner in the line?
3. What was my last position in the race if I overtake the first runner in the line?
4. What was my last position in the race if I overtake the last runner in the line?
5. Could I be the champion of the marathon?

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insurectus

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Re: How To Do Mathematics Fast
« Reply #85 on: November 21, 2008, 05:30:08 PM »
1. 4th
2. 3rd
3. 2nd
4. not possible
 

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A Layman

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Re: How To Do Mathematics Fast
« Reply #86 on: November 21, 2008, 06:02:03 PM »
Hurray!!! You got them right! How about the fifth question? Ok, just leave your answer as they are. Anyway, I could never become a champion in marathon. Hingal na ako at masakit na kasokasuhan ko. Thanks!

Could you help me extract the root of this equation? Find for x.

ax2+bx=c

Thanks in advance for your answer.


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Manong JOSE

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Re: How To Do Mathematics Fast
« Reply #87 on: November 21, 2008, 07:10:22 PM »
ax2 + bx = c is a quadratic equation which can be transformed to the standard form: ax2 + bx - c = o

x can be solved using the quadratic formula but I don't know how to encode an equation here... :D

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A Layman

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Re: How To Do Mathematics Fast
« Reply #88 on: November 21, 2008, 07:34:52 PM »
Salamat Nong for a nice attempt. You were there already and I know you know it well pa. Daghan man god nga mga kabataang enhenyero diri nga sakop ko sa trabaho (UP, La Salle, Mapua, UST) nga nakalimot na niini. It's good to know that despite of our age wa pa gihapon tay-i atong utak. Naa diay kas Thailand karon. Diha ako nag master niadtong 1976-1977.



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A Layman

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Re: How To Do Mathematics Fast
« Reply #89 on: November 21, 2008, 07:59:30 PM »
I'll try also if I can encode it here. But meantime we'll give this challenge to others who  can offer some solutions.



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Manong JOSE

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Re: How To Do Mathematics Fast
« Reply #90 on: November 21, 2008, 08:09:25 PM »
That's the derivation of quadratic formula. Kalimot na man pud ko ana mga butanga kay wa na pud kaau nako magamit. I used to teach elementary and intermediate algebra sa pilipinas and linear and quadratic equations were some of the lessons I taught.

Asa ka dre sa Thailand nag masteral before sir? I am presently doing my master's in education here.

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A Layman

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Re: How To Do Mathematics Fast
« Reply #91 on: November 21, 2008, 08:32:34 PM »
Diha ko sa Asian Institute of Technology somewhere in Pathaya if I remember correctly. Niadtong 1976-1977 pa to when Thailand experienced a slump in their economy.

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Manong JOSE

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Re: How To Do Mathematics Fast
« Reply #92 on: November 21, 2008, 08:37:51 PM »
I know Asian Institute of Technology in Pattanakan Disctrict in Bangkok. I don't know if there's another AIT in Pattaya.

GOOD! I heard lots of Filipinos are teaching in that school. It's a nice school with a very big and nice campus in the outskirt area of Bangkok.

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A Layman

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Re: How To Do Mathematics Fast
« Reply #93 on: November 21, 2008, 08:52:24 PM »
You are exactly right. There is only one AIT campus in Thailand. Before, only qualified scholars from different Asian countries were admitted to enroll in different Masteral and Doctoral Courses in Engineering. Diploma Courses were not offered before. I don't know their set up now. I was informed then that Dr. Mario Tabucanon from Leyte is the present Provost after finishing his term as the President of that school. We were there together in that school when he was still working with his dissertation for his Doctoral Degree. Are you working and residing there now with your family? Suwaidi kap!

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Manong JOSE

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Re: How To Do Mathematics Fast
« Reply #94 on: November 21, 2008, 09:16:55 PM »
I am single. I have been here in Thailand for 2 years lang. I went here months after my graduation in the Philippines. I don't know much about AIT. I just happened to pass by their campus when I was lost in Bangkok. :D :D :D

I might meet those people sir kung mo bisita ko sa AIT pohon. I might be there for my thesis. Saludo gyud ko kaau nimo sir! Until now, kabalo pa ka sa derivation sa quadratic formula. GOOD!


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A Layman

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Re: How To Do Mathematics Fast
« Reply #95 on: November 21, 2008, 09:23:50 PM »
Thank you Nong. I am just trying to make my mind busy para di ta ango angohon ug sayo. LOL

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slackware

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Re: How To Do Mathematics Fast
« Reply #96 on: November 21, 2008, 10:08:15 PM »
Use the The Quadratic Formula

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A Layman

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Re: How To Do Mathematics Fast
« Reply #97 on: November 21, 2008, 10:25:02 PM »
Yes that's it! Do you still know how this formula is derived?

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Re: How To Do Mathematics Fast
« Reply #98 on: November 21, 2008, 10:56:26 PM »
Objective: to derive the formula that can be used to solve the whole class of quadratic equations ax2 + bx + c = 0.

Although a specific quadratic equation was used to introduce the method Solution by Completing the Square, the approach used there actually makes it possible for us to treat a whole class of equations ax2 + bx + c = 0 by means of literal coefficients. In this section, we will derive the formula that we can use to solve the entire class of quadratic equations.

First, divide both sides by the coefficient a (aSquare root of A0, because a quadratic equation is assumed):



Next, add the right expression that can help transfer the first two terms into a square form to both sides:



Rearranging the terms, we have:



Combining the first three terms into a square, we have:



Now, move the right term to the left side:



Making the second main expression into a square:



Simplifying the second major term, we obtain:



Changing the equation into factored form, we get:



Therefore, the two solutions are:



Normally, we write two solutions together, as follows:



source: http://www.quickmind.net/mathpathways/algebra2/content/algebra2/topics/solubycs.htm

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A Layman

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Re: How To Do Mathematics Fast
« Reply #99 on: November 21, 2008, 11:20:56 PM »
Perfectly done! Given a, b, c and n real, would you believe that the roots of any equation of nth exponential order can be solved using Newton-Raphson method theory of convergence? Try using this general formula shown in (1), in solving the root of the equation

f(x)=x3+x-1=0

xn+1=xn-f(xn)/f'(xn)      (1)

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fdaray

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Re: How To Do Mathematics Fast
« Reply #100 on: November 22, 2008, 11:48:33 AM »
Yes, quite catching. Mary can be the eldest or the youngest.

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Lorenzo

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Re: How To Do Mathematics Fast
« Reply #101 on: November 23, 2008, 06:40:05 AM »
Perfectly done! Given a, b, c and n real, would you believe that the roots of any equation of nth exponential order can be solved using Newton-Raphson method theory of convergence? Try using this general formula shown in (1), in solving the root of the equation

f(x)=x3+x-1=0

xn+1=xn-f(xn)/f'(xn)      (1)

Newton Raphson method. Sir Layman, you bring me back to my Calculus class of the past, lol!

My respects to you and Sir Daray. The mathematicians of Tubag Bohol.

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