Are there any Math fans here ?

[Heron]

I'm not a numbers person, I'm a word person.
Which is why MATH as opposed to MATHS drive's me nuts!
How can mathematics (plural) become shortened to math?
American English is in itself an oxymoron!
Sorry..... Just had to get that off my chest!
No offence meant to all you Americans

As a neutral Swede I see mathematics shortened to maths which is then properly shortened to math; all meaning the same. (whatever mathematics may be to people, I doubt any Vulcan besides me wouldn't agree)
For example I guess you write 10 m (ten metres) instead of 10 ms, so I think it is OK to cut off the trailing "s" for those who want to do that.
But this is of course just my point of view – me usually being wrong.

 

[Heron]

No one doubts solutions of easy equations, but what about those of x⁵+2x⁴+3x³+4x²+5x+3 = 0
? Talking about real solutions.

 

[vangelis]

x = -1

minus is real in my world!

 

[Heron]

x = -1

minus is real in my world!

Perfectly right! The question then, are there any other real solutions of the equation? (for people not comfortable with -1)

Answer: No, there is no other solution than Vangelis'. (+)

By the way, about quartic equations
–2x⁴ + 5x³ – 9x² + 8x + 5 = 0

Well, if we let a = –2, b = 5, c = –9, d = 8, and e= 5; then the fascinating quartic solution formula gives something like
x[1]=((((((8*a*c-3*b^2)/(8*a^2))*((-3*b^4+16*a*(a*(16*a*e-4*b*d)+b^2*c))/(256*a^4)-((8*a*c-3*b^2)/(8*a^2))^2/36)/(-3)+((b^2*b+4*a*(2*a*d-b*c))/(8*a^3))^2/8)/2-((((8*a*c-3*b^2)/(8*a^2))*((-3*b^4+16*a*(a*(16*a*e-4*b*d)+b^2*c))/(256*a^4)-((8*a*c-3*b^2)/(8*a^2))^2/36)/3-((b^2*b+4*a*(2*a*d-b*c))/(8*a^3))^2/8)^2/4-(((8*a*c-3*b^2)/(8*a^2))^2/12+(16*a*(a*(16*a*e-4*b*d)+b^2*c)-3*b^4)/(256*a^4))^3/27)^0,5)^(1/3)+((((8*a*c-3*b^2)/(8*a^2))*((-3*b^4+16*a*(a*(16*a*e-4*b*d)+b^2*c))/(256*a^4)-((8*a*c-3*b^2)/(8*a^2))^2/36)/(-3)+((b^3+4*a*(2*a*d-b*c))/(8*a^3))^2/8)/2+((((8*a*c-3*b^2)/(8*a^2))*((-3*b^4+16*a*(a*(16*a*e-4*b*d)+b^2*c))/(256*a^4)-((8*a*c-3*b^2)/(8*a^2))^2/36)/3-((b^3+4*a*(2*a*d-b*c))/(8*a^3))^2/8)^2/4+((3*b^4-16*a*(a*(16*a*e-4*b*d)+b^2*c))/(256*a^4)-((8*a*c-3*b^2)/(8*a^2))^2/12)^3/27)^0,5)^(1/3)-((8*a*c-3*b^2)/(8*a^2))/3)/2)^0,5-0,5*(-2*(((((8*a*c-3*b^2)/(8*a^2))*((-3*b^4+16*a*(a*(16*a*e-4*b*d)+b^2*c))/(256*a^4)-((8*a*c-3*b^2)/(8*a^2))^2/36)/(-3)+((b^3+4*a*(2*a*d-b*c))/(8*a^3))^2/8)/2-((((8*a*c-3*b^2)/(8*a^2))*((-3*b^4+16*a*(a*(16*a*e-4*b*d)+b^2*c))/(256*a^4)-((8*a*c-3*b^2)/(8*a^2))^2/36)/3-((b^3+4*a*(2*a*d-b*c))/(8*a^3))^2/8)^2/4-((((8*a*c-3*b^2)/(8*a^2))^2/12+(-3*b^4+16*a*(a*(16*a*e-4*b*d)+b^2*c))/(256*a^4)))^3/27)^0,5)^(1/3)+(((8*a*c-3*b^2)/(8*a^2)*((-3*b^4+16*a*(a*(16*a*e-4*b*d)+b^2*c))/(256*a^4)-((8*a*c-3*b^2)/(8*a^2))^2/36)/3-((b^3+4*a*(2*a*d-b*c))/(8*a^3))^2/8)/(-2)+((((8*a*c-3*b^2)/(8*a^2))*((-3*b^4+16*a*(a*(16*a*e-4*b*d)+b^2*c))/(256*a^4)-((8*a*c-3*b^2)/(8*a^2))^2/36)/3-((b^3+4*a*(2*a*d-b*c))/(8*a^3))^2/8)^2/4-((((8*a*c-3*b^2)/(8*a^2))^2/12+(-3*b^4+16*a*(a*(16*a*e-4*b*d)+b^2*c))/(256*a^4)))^3/27)^0,5)^(1/3)-((8*a*c-3*b^2)/(8*a^2))/3)-2*((8*a*c-3*b^2)/(8*a^2))-((b^2*b+4*a*(2*a*d-b*c))/(8*a^3))/((((((8*a*c-3*b^2)/(8*a^2))*((-3*b^4+16*a*(a*(16*a*e-4*b*d)+b^2*c))/(256*a^4)-((8*a*c-3*b^2)/(8*a*a))^2/36)/3-((b^3+4*a*(2*a*d-b*c))/(8*a^3))^2/8)/(-2)-((((8*a*c-3*b^2)/(8*a^2))*((-3*b^4+16*a*(a*(16*a*e-4*b*d)+b^2*c))/(256*a^4)-((8*a*c-3*b^2)/(8*a^2))^2/36)/3-((b^3+4*a*(2*a*d-b*c))/(8*a^3))^2/8)^2/4-((((8*a*c-3*b^2)/(8*a^2))^2/12+(-3*b^4+16*a*(a*(16*a*e-4*b*d)+b^2*c))/(256*a^4)))^3/27)^0,5)^(1/3)+((((8*a*c-3*b^2)/(8*a^2))*((-3*b^4+16*a*(a*(16*a*e-4*b*d)+b^2*c))/(256*a^4)-((8*a*c-3*b^2)/(8*a^2))^2/36)/3-((b^3+4*a*(2*a*d-b*c))/(8*a^3))^2/8)/(-2)+((((8*a*c-3*b^2)/(8*a^2))*((-3*b^4+16*a*(a*(16*a*e-4*b*d)+b^2*c))/(256*a^4)-((8*a*c-3*b^2)/(8*a^2))^2/36)/3-((b^3+4*a*(2*a*d-b*c))/(8*a^3))^2/8)^2/4-((((8*a*c-3*b^2)/(8*a^2))^2/12+(-3*b^4+16*a*(a*(16*a*e-4*b*d)+b^2*c))/(256*a^4)))^3/27)^0,5)^(1/3)-(8*a*c-3*b^2)/(8*a^2)/3)/2)^0,5)^0,5-b/(4*a)=-0.399381267914565…

Accordingly x[2] = 1.72373826664918…
x[3] and x[4] are not real but complex solutions (0,587822 ± 1.812712i).
As simple as that

 

[Heron]

I know this was probably backwoods stuff, but neither the less it may be of importance also for others …
– just nod if you hear me –

 

[Aeolienne]

I know this was probably backwoods stuff, but neither the less it may be of importance also for others …
– just nod if you hear me –

What's with the Vangelis reference?

 

[Heron]

What's with the Vangelis reference?

Yes, Vangelis is great
Also, I find it astonishing that
(9√6 + 19)^⅓ – (9√6 – 19)^⅓ = 2
I wouldn't expect the difference on the left hand side to be an integer but it is.
An experienced solver of cubic equations may recognize it as the solution of the cubic' x³ + 15x – 38 = 0 (with solution x = 2), but still it feels strange.
_____
Now I think I see my error: (9√6 + 19)^⅓ and (9√6 – 19)^⅓ are one by one both algebraic numbers far from the world of integers but together they may compose a product (9√6 + 19)^⅓ · (9√6 – 19)^⅓ = 5. Therefore, together they are clearly related to the world of integers.

 

[Ronald Zeeman]

Enjoyed math in high school, physics is more my thing now as it explains more math just shows how physics shows why.
I like Kurt Godels work as he showed the limits of math. Plus he predicted current politics by showing flaw in American constitution that is currently being played out.

 

[Italianbratxoxo]

I was never into math until this year. I was always bad at math and my math teachers thought I was stupid. Now I can do Algebra, geometry, and trigonometry. I really like math now. It keeps my brain going.

 

[FayetheAspie]

Basic math is ok. I like statistics and probability. I don't know very much geometry and never studied trigonometry.

 

[mw2530]

I always enjoyed math and was one of my favorite subjects. Algebra, pre-calc, calculus - enjoyed most of it but more advanced calculus is a challenge. I enjoyed my time as a math tutor while in college - one of the few jobs I had during my younger years that I actually liked.

 

[Ronald Zeeman]

I specialized in math and science in my later high school years. grade 13 being one year of university equivalent.

 

[FilterFreq]

I've never been interested in math, but I find myself having to actually understand concepts for programming projects.

Most of it feels like I'll never fully understand what I'm reading, but I'm hoping that with enough persistence, trial and error, I'll get somewhere with all of it. Go-go-gadget hyperfocus

 

[Ronald Zeeman]

Most math I have been exposed to is easy to follow for me just visualize it in my head watched lots of lectures of math through the great courses even multivariable calculus to me was mickey mouse remember a few rule some trick same for me organic chemistry when I was in college remember a few simple rules and it was easy. The only great course that was a stretch, was the calculus one the based on the visual method, you would need to be a graduate student in math specializing in calculus to really get this I enjoyed it Only issue is proofs why I'm no good at computers I'm too visual follow the rigor required. Can see it but not translate in formulas or code.

 

[Ronald Zeeman]

When I was taking the quality courses, one test had questions about critical path, uses for planning a complex task
I remember when it was being taught the teacher said mainly engineering students do well with this question Sure enough the test had five questions pick the four you can answer which will be marked I did all of them this was the easiest. Teacher was surprised I answered only expected engineers in class to answer.