Makasimatics's Posts
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Gmajor:Are you not convinced by the magic nature if the formula? It is easy to grasp |
Apart from the known methods which could be used to derive the quadratic formula, a new formula has been developed by me, and the formula can proof the Almighty Formula. The formula appears magical by a simple glance on it, and even during its evaluation. Below is the magic formula in the mathematical capsule 1.0. Capsule 1.0 F'(x)=±sqrt(f'(x)^2 -4f(x)) Given a standard form of the polynomial of the second degree as, ax^2+bx+c=0 Now we let f(x)=X^2+(b/a)X+c/a....1 The above equation is a monic or reduced quadratic equation. F'(x)=2X+b/a.......2 Now plug f(x) and f'(x) into the magic formula for evaluation. Thus we have, 2X+b/a=±sqrt((2x+b/a)^2-4(x^2+b/ax+c/a) ) 2x+b/a=±sqrt(4x^2+4b/ax+b^2/a^2-4x^2-4b/ax-4c/a) Taking the like terms and finding the common denominator inside the root sign reduces to: 2x+b/a=sqrt(b^2-4ac /a^2) Take the square root to have 2x+b/a=±sqrt(b^2-4ac) /a Now,multiply by 1/2 to have X+b/2a=±sqrt( b^2-4ac)/2a Solve for x to have,and take the common divisor at the RHS to have X=-b±sqrt(b^2-4ac) /2a Have you seen this before? I have a proof for it |
sholay2011:Very fine. For simplicity, hope you knew that -b±squrt(b^2-4ac) / 2a are the solutions or roots of a quadratic equation? If so,then let me use normal numbers to denote the coefficients if x and constant of the quadratic equation given below: X^2-x-6=0.............A The above equation A is a reduced or monic quadratic equation since a=1. Note: the sign "^" denotes raised to power as shown in equation A. We write out the formula. F'(x)=±2squrt(f'(x)^2 -4f(x)/4) Here there is a nominator,and denominator inside the squrt. Now, we shall plug f'(x) and f(x) into the numerator of the formula. Let f(x)= x^2 -x -6 then, f'(x)= 2x-1 Therefore, we substitute the above into the formula and evaluate. Thus we have, 2x-1=±2squrt( (2x-1)^2 -4(x^2-x-6)/4 ) Holding the LHS constant, we deal with the RHS. That is, we expand the binomial inside the square root sign,and open the other expression by -4. All happen at the numerator. Thus we have : (2x -1)(2x -1) = 4x^2-4x+1 -4(x^2-x-6)= -4x^2 -4x -24 Then we plug our results after expansion into the formula to have. 2x-1=±2squrt(4x^2-4x+1-4x^2+4x+24 )/4 ) The terms having the same variable as well as power will cancel out inside the square root,while the constant terms will add up to yield 25 inside the same square root sign so that we have 25/4 inside the squrt. 2x-1=±2squrt(25/4) 2x-1=±2(5/2) (since the squrt of 25 is 5 ,and that of 4 is 2) Thus, 2x-1=2(±5/2) 2x-1:=±5 (since 2/2=0) We multiply by 1/2 to have, X -1/2 = ±5/2. Solve for x to get. X=±5/2+1/2 The common denominator yields X=±5+1/2. Therefore, for plus or minus we have X=6/2=3 Or x=-5+1 / 2 =-4/2=-2. X=-2 or 3 |
Do you know that, F'(x)=±2squrt(f'(x)^2 -4f(x) / 4) Can be used to derive Almighty Formula. This is my new finding. |
People do believe that Gods' time is the best. Now I ask if it's really so? Does God blesses people at different times or at the same time? If you observed well,you would notice that if people are blessed monetarily a he same time in a given society, then such a society will never grow since all men are equal. I do not even think that the world could have existed if all things were equal as opposed to all things not being equal. In my own view, God does not allow everyone to have the same thing at the same time. He gives things to people at different times. God is awesome. He knows when perfectly one needs something even when one wants it now. God may bless your friend today in all things like money, children, etc, but may only bless you by giving you children with little means of making a living. Do not blame God cause He has His reasons. Your rich friend may enjoy his riches, but when departed, the children may not be able to control the wealth. But you that feels that you have no money, Gods' plan may be that your children he blessed so that you enjoy at the old time. Now at this point, you would see how things go zigzard. In conclusion, I feel that God has a time for each person. |
Sorry boy. Just rest well |
Mondisweets:Lolz. Sorry dear, there are still exception. So don't bother. I just used inductive reasoning |
Na normal thing. Both the rich and the poor de chow this |
Sorry my brother. Gush!!!! |
Women na Satan. Rot in jail |
sunnydayasaba:No problem bro, i have heard |
But this helps to reduce the degree of unemployment among unskilled persons lol. Women are goods |
bisous:Maybe. Thanks brother. But they have to show some remorse |
SeverusSnape:Yh. U are right |
sunnydayasaba:U are right. But they must show me how sorry they are. They must believe that they were wrong |
blank:Lol |
Nutase:Lolz. Them no wan go home |
Since my childhood, my parents have been mistreating me for just no course. They used to send me out of the house without any good reason. Overtime, I have slept inside different uncompleted buildings near our house . They managed to sponsor me throughout my primary and secondary days irrespective of their ill treatment against me,but all efforts were just to fulfill all righteousness. After my WAEC, they advised me to look for something doing to help my self out as an independent man,but I refused to do so cause my good friend has advised me to go to the university. As soon as my parents heard this, they told me that I am now on my own for disobeying them. Well, I tried all the possible best to enter into the university with the help of my friend. All through my stay in the university, they only supported me once ,but my I know how much my father make from electrical work ,but he doesn't send me, but he sends his concubines. I trained my self in the university through many means. Most times, I send bags of rice to my parents but no thanks from them. Now, I am a graduate, and a working class. Now they are calling me home to stay for a while with them. What should I do |
Well learnt thanks brother. |
Too bad; so sad. |
Etetejake:Lolz. U are funny |
baby124:Yh it's ok brother. |
70% true |
She make sense. I like her |
Weaker men beats their wives |
Sorry |
Sorry for them |
soulglo:Thanks |
Agrika:Right u are. U talked on the basis of all things being the same |
aisha2:U have spoken as one with wisdom |