Question

Let x,y,z be the real roots of the cubic equation

2u^3−799u^2−400u−1
and let ω=tan−1x+tan−1y+tan−1z. If tanω=ab, where a and b are positive coprime integers, what is the value of a+b?

Answer 1

@killua_vongoladecimo: Have u tried it bro ??

Answer 2

nah

Answer 3

K I"ll give u a hint Use identity
tan−1(x)+tan−1(y)=tan−1[(x+y)/(1-xy)]

U should try it from here on . This is a nice Question

Answer 4

um..would you guide me?

Answer 5

should i get the roots of the cubic equation? if ever i will how ?

Answer 6

@Anu2401

Answer 7

Yes. If u proceed as mentioned above u will get tan(w) in terms of xyz . Which are the roots of given equation.

Answer 8

Just solve that equation first .

Answer 9

to tell you the truth i dont know what tan is XD so as much as possible guide me as much as you can without giving the answer

Answer 10

how to extract it's roots? is it composed of binomial?

Answer 11

Do u know the theory of cubic equations ??

Answer 12

nope

Answer 13

Ok wait

Answer 14

ok :)

Answer 15

I hv attached the theory part for any order of equation . This will help u .. Always remember this .It is going to be very helpful to know this one. Have a look

Answer 16

um...what does alpha,beta, and the greek y represent?

Answer 17

Here in ur case these are x y z which are the roots of the given equation
au^3+bu^2+cu+d
where a, b , c , d are some constant values
here a=2, b=-799,c=-400 & d=-1

Answer 18

ummm... i really don't get it

Answer 19

ummm..what book did u use?

Answer 20

Have a look in attachment after the word "In Particular " written in bold OKwhat do u understand after reading that much .. Let me know

Answer 21

there's alpha,beta and greek y right? what do those symbolize?

Answer 22

um form what country are you?

Answer 23

i kinda need to go now...let's continue tomorrow

Answer 24

or just write the explanation i'll just look at it and review it

Answer 25

You can represent a variable with whatever symbol you like be it alpha,beta and gama or xyz they are the same

Answer 26

um can you solve it...
as in with full explanation it's about 11:22 pm here
i'll just look at it and write the solution is that ok?

Answer 27

Ok

Answer 28

um do you have facebook?

Answer 29

Yes

Answer 30

is it ok if i add you?

Answer 31

btw from what country are you?

Answer 32

Yup

Answer 33

India

Answer 34

what's yur name in facebook?

Answer 35

what is the time there?

Answer 36

8:30 PM

Answer 37

what's yur facebook name?

Answer 38

bye

Answer 39

Bye

Answer 40

@killua_vongoladecimo : Have a look . Go through theory . And try to proceed from there