ll if x+1/x = root 2, find x¹³+1/x¹³ ll solve algebraic expression ll @mathscuriosity494

preview_player
Показать описание
@mathscuriosity494

algebraic expression

#algebraicexpression
#mathsolympiodquestion
#mathematics
  1. maths curiosity
  2. mathematics
  3. algebra
  4. algebraic expression
  5. tricky question
  6. maths olympiad question
Рекомендации по теме
If x = 0:09:54

If x = 7+√40 , find the value of √x + 1/√x | If X equal to 7 + root 40 find root x + 1 / root x...

If x root 0:02:33

If x root (1+y) + y root (1+x) = 0 Prove that dy/dx = -1/(1+x)2

if X equal 0:00:57

if X equal root 3 + root 2 then the value of x + 1 / X is

If x=3+2root2. Find 0:03:39

If x=3+2root2. Find Root x - 1/ Root x | If x=3 plus 2 root 2 find the value of root x minus1 upon

if X + 0:00:47

if X + 1 /x =2 then the value of x¹⁰⁰ + 1 / X¹⁰⁰ is

If x=1-√2, find 0:02:30

If x=1-√2, find the value of (x-1/x)^3...|| rd sharma book question Class 9 ||

Solve x:: If 0:03:10

Solve x:: If x+ 1/x=2,then what is the value of x^4 -1/x^4 is?

x+1/x Tricks for 0:00:24

x+1/x Tricks for competitive exams | Algebra Questions for SSC CGL NTPC Railway Exams

Harvard University entrance 0:12:07

Harvard University entrance math exam| Exponential math problem|solve for a

If x=5-√21/2, Find 0:03:53

If x=5-√21/2, Find the value of x+1/x

if x=√3/2 then 0:07:18

if x=√3/2 then under root (1+x)/1+under root (1+x )...... | ssc | cet | algebra question practice |...

Number Systems Class-9 0:06:59

Number Systems Class-9 | If x= 5+ 2√6 then show that √x+ 1/√x = +- 2√3 | Most Important Question...

If x=3+2√2, then 0:04:19

If x=3+2√2, then find the value of √x-1/√x...|| Class 9 || rd Sharma question ||

if x+1/x=4 find 0:01:49

if x+1/x=4 find the value of x^2+1/x^2 | Learn the Easy Trick

If x + 0:03:29

If x + 1/x = 5 find the value of x^4 + 1/x^4 / If x+1/x = 5 find the value of x^2 +1/X^2 / Algebra

if x = 0:01:00

if x = 7 – 4 root 3 then the value of x + 1 / X is

if ` x 0:01:53

if ` x = 1- sqrt2` . Find the value of `(x - 1/x)^3`

If x-1/x=5 then 0:02:59

If x-1/x=5 then find the value of x^4+1/x^4

5 simple unsolvable 0:00:50

5 simple unsolvable equations

If x1, x2 0:07:55

If x1, x2 are the roots of the quadratic equation ax^2+bx+c = 0,find value of (ax1+b)^- 2+(ax2+b)^-2

Find the roots 0:04:19

Find the roots of the equation 1/x-1/(x-2)=3,x≠0,2.

'If `x+1/x=4,` find 0:01:33

'If `x+1/x=4,` find the values of `x^2+1/(x^2)`'

If(x - 1/x) 0:01:37

If(x - 1/x) = sqrt(6) , and x 1 , what is the value of (x ^ 8 - 1/(x ^ 8)) ?+

If x= 9+4√5 0:11:00

If x= 9+4√5 then find the value of √x-1/√x #viral #mathematics #rsaggarwal #value #ssc

Комментарии
Автор

Muy interesante y didáctica la explicación, muchas gracias. Felicidades y éxitos Profesor.

freddyalvaradamaranon
Автор

For this problem, I would have liked to have shown a solution using the polar form of trigonometric functions and de Moivre's theorem. That is, from x+1/x=√2⇒x²-√2x+1=0⇒x=(√2±i√2)/2,
x is expressed in trigonometric polar form, x=cos(±π/4) + i·sin(±π/4), so using de Moivre's theorem,
5・π/4)+i・sin(±5・π/4)}=(-√2∓i√2)/2,
and 1/x¹³=x^(-13)={cos(∓13・π/4)+i・sin(∓13・π/4)}={cos(∓5・π/4)+i・sin(∓5・π/4)}=(-√2±i√2)/2,
so x¹³+

佐藤広-qu
Автор

x**4=-1, non ha soluzione nei numeri reali, siamo nel campo dei numeri immaginari.

pinolo