Hello redditors,
I would really like some feedback on this. Please feel free to share your thoughts. I will be very glad for every comment (even negative ones). Please, if you downvote, can you at least explain why. Thanks.
___
This theory helps proving a+b=c, especially if equations are hard to prove (plus some more). We also have unsolved mathematics problems that include relationship between a,b and c and they are hard to prove of disprove. Theory is here:
We have:
a,b,c
a,b,c are any possible numbers
How do we know if sum of any of two numbers (and which ones) is 3rd number?
We use this equation:
(c²-b²- a²):(b*a)=
If:
___
- result is 2, than a+b=c and b+a=c
Proof:
If a+b=c; than c²=a²+2ab+b², so
Equation is: (c²-b²- a²):(b*a)=
= (a²+2ab+b²-b²-a²):(b*a)=2ab:(b*a)=2
___
- result is -2, than a+b (or b+a) is not c. But, if we take bigger number of a and b and we swap it with c, than we will get correct result (for example:a is bigger than b, than:a+b=c is not true; but c+b=a is true (and b+c=a true also)).
Proof:
If a-b=c or(not and) b-a=c; than c²=a²-2ab+b², so
Equation is: (c²-b²- a²):(b*a)=
= (a²-2ab+b²-b²-a²):(b*a)=-2ab:(b*a)=-2
____
- result is different than 2 or -2. Then all of next statements are false:
A+b=c
A+c=b
B+a=c
B+c=a
C+a=b
C+b=a
Proof:
Result of equation is different than in previous cases, meaning that our conclusion is correct.
______________________
Example #1:
a=2
b=4
c=6
a+b=c
2+4=6 : Correct or False?
(c²-b²- a²):(b*a)=2
(6²-4²-2²):(4*2)=
=(36-16-4):8=
=16:8=
=2
Because our result is 2, we know that 2+4=6 is correct.
___
Example #2
a=2
b=5
c=3
a+b=c
2+5=3 : Correct or False?
(c²-b²- a²):(b*a)=
(3²-5²-2²):(5*2)=
=(9-25-4):10=
=(-20):10=
=-2
Because our result is -2, we know that 2+5=3 is not correct. But if we take bigger number of a and b and we swap it with c, than we will get correct result. In this case we swap b and c (this means that equation:2+3=5 is correct).
___
Example #3:
a=2
b=7
c=3
a+b=c
2+7=3 : True of False?
(c²-b²- a²):(b*a)=
(3²-7²-2²):(7*2)=
=(9-49-4):14=
=(-44):14=
=-3,143
Because our result is not 2 and also not -2 we know that all of these statements are wrong:
A+b=c
A+c=b
B+a=c
B+c=a
C+a=b
C+b=a
____
For easier understanding I have used simple examples to show this theory. As mentioned above, it becomes useful when equation is harder to prove or solve.
___
Thank you for reading. Have a lovely day. Thoughts?
[link] [comments]
from math https://ift.tt/351XvEA
Post a Comment