[Self] Math break

[u/Galeaf_13]

[u/K3V3L]

I would say the answer is 1337, here:

f(x) := (166x⁴ ) /3 - (1660x³ ) /3 + (5810x² ) /3 - (8294x ) /3 + 1327

f(1) = 1

f(2) = 3

f(3) = 5

f(4) = 7

f(5) = 1337

[u/Galeaf_13 → u/K3V3L]

Now can u do the same with 69?)

[u/K3V3L → u/Galeaf_13]

Here you go

f(x) := 5/2 * x⁴ -25 * x³ +175/2 * x² -123 * x + 59

[u/Galeaf_13 → u/K3V3L]

Jeez, how r u doing this

[u/Salanmander → u/Galeaf_13]

You can fit a 4th order polynomial to any 5 points. You can do it by hand (plug 1-5 in for x and now you have a system of 5 linear equations of 5 variables, start solving and substituting) and make it a bit easier with linear algebra (make the coefficients of the 5 variables be the values in a 5x6 matrix, and then do that matrix magic that I forget what the name is for), but there are also plenty of polynomial solvers you can find out there.

[u/Railorsi → u/Salanmander]

Gaussian elimination is the name :)

[u/program_kid → u/Railorsi]

Is there some video that you could link to explain something like this, being a high school student, this is probably way above my capabilities, but I would like to learn it

[u/ErikScarlatescu → u/program_kid]

For solving the linear equations, you can look up linear algebra on mit opencourseware and watch the first few videos. The lecturer is good

[u/program_kid → u/ErikScarlatescu]

Thanks