A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 one year ago
If \(\LARGE{x^2=\frac{1}{x^2}+1}\), then \(\LARGE{x^2+\frac{1}{x^2}=?}\)
 one year ago
If \(\LARGE{x^2=\frac{1}{x^2}+1}\), then \(\LARGE{x^2+\frac{1}{x^2}=?}\)

This Question is Closed

jiteshmeghwal9
 one year ago
Best ResponseYou've already chosen the best response.1@hartnn @ParthKohli @ajprincess plz help :)

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0\[\dfrac{1}{x^2} = x^2  1 \ \ \ \ \]So,\[x^2 + x^2  1 = 2x^2 1\]

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Should it be a number value?

jiteshmeghwal9
 one year ago
Best ResponseYou've already chosen the best response.1\[\Huge{\color{red}{Ans.\sqrt{5}}}\]

Yahoo!
 one year ago
Best ResponseYou've already chosen the best response.3x^4 = x^2 + 1 x^4  x^2  1 = 0 put y = x^2

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0That's a quartic equation in \(x\). So multiply through \(x^2\).\[x^4 = x^2 + 1\]

jiteshmeghwal9
 one year ago
Best ResponseYou've already chosen the best response.1from where do u gt x^4?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0I had typed a long explanation, but Yahoo! spilled the beans =P

Yahoo!
 one year ago
Best ResponseYou've already chosen the best response.3Solve the given Equation @jiteshmeghwal9 x^2 = 1 + 1/x^2

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0\(x^2 = 1 + \dfrac{1}{x^2}\) is what you have. Multiply \(x^2\) to both sides.

jiteshmeghwal9
 one year ago
Best ResponseYou've already chosen the best response.1Oops sorry i misread it

jiteshmeghwal9
 one year ago
Best ResponseYou've already chosen the best response.1AArgh.... I'm going to be crazy :(

jiteshmeghwal9
 one year ago
Best ResponseYou've already chosen the best response.1Sorry dudes but i'm nt getting the right thing :(

rahul91
 one year ago
Best ResponseYou've already chosen the best response.0x^4x^21=0 put x^2=t t^2t1=0 solve it

jiteshmeghwal9
 one year ago
Best ResponseYou've already chosen the best response.1using quadratic formula ?

jiteshmeghwal9
 one year ago
Best ResponseYou've already chosen the best response.1\[{1 \pm \sqrt{1+4}\over2}={1 \pm \sqrt{5}\over2}\]

jiteshmeghwal9
 one year ago
Best ResponseYou've already chosen the best response.1No.. i'm nt getting answer

rahul91
 one year ago
Best ResponseYou've already chosen the best response.0substitute for x^2 in the expression needed

Yahoo!
 one year ago
Best ResponseYou've already chosen the best response.3Hm..Hm...After Solving i got sqrt5

jiteshmeghwal9
 one year ago
Best ResponseYou've already chosen the best response.1can anybody give me steps to the solution, i'm getting confused :((((

rahul91
 one year ago
Best ResponseYou've already chosen the best response.0hey substitute x^2= (1sqrt(5))/2 in the expression u get the answer sqrt(5)

Yahoo!
 one year ago
Best ResponseYou've already chosen the best response.3@jiteshmeghwal9 ..Can u Check...ur Solution

Yahoo!
 one year ago
Best ResponseYou've already chosen the best response.3x^2 + 1 / x^2 = (x^4 + 1) / x^2

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0\[x^4 x^2  1 = 0 \]We can let \(t = x^2\).\[t^2  t  1 = 0 \iff \boxed{t = \dfrac{1\pm \sqrt 5}{2}}{}\]

Yahoo!
 one year ago
Best ResponseYou've already chosen the best response.3x^4=x^2+1 (x^2+2) / x^2 = 1 + 2/x^2

sirm3d
 one year ago
Best ResponseYou've already chosen the best response.1\[x^2=1/x^2+1\\x^4=1+x^2\\x^4x^21=0\]by quadratic formula,\[x^2=\frac{1\pm \sqrt{5}}{2}\]disregard \(\displaystyle x^2= \frac{1\sqrt{5}}{2}\) since this is not a real number

Yahoo!
 one year ago
Best ResponseYou've already chosen the best response.3nw put the value of x^2

jiteshmeghwal9
 one year ago
Best ResponseYou've already chosen the best response.1well \(\sqrt{5}=\pm\sqrt{5}\) but in my book it is only given \(\sqrt{5}\) as answer :)

Yahoo!
 one year ago
Best ResponseYou've already chosen the best response.3Lol....Then...Go By My method

Yahoo!
 one year ago
Best ResponseYou've already chosen the best response.31 + 2/x^2 1 + 4 / (1 + sqrt5) (5 + sqrt5)/ (1 + sqrt5) rationalize... u will get (4 sqrt 5)/4 = sqrt5

jiteshmeghwal9
 one year ago
Best ResponseYou've already chosen the best response.1A little doubt here, just last doubt

jiteshmeghwal9
 one year ago
Best ResponseYou've already chosen the best response.1(x^2+2) / x^2 = 1 + 2/x^2 how did u gt this ?

sirm3d
 one year ago
Best ResponseYou've already chosen the best response.1\[x^2=\frac{1+\sqrt 5}{2}\\\frac{1}{x^2}=\frac{2}{1+\sqrt 5}\cdot\frac{1\sqrt 5}{1\sqrt 5}=\frac{1}{2}+\frac{\sqrt 5}{2}\\x^2+\frac{1}{x^2}=(1/2+\sqrt 5/2)+(1/2+\sqrt 5/2)=\sqrt {5}\]

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0\[\dfrac{x^2 + 2}{x^2} = \dfrac{x^2}{x^2} + \dfrac{2}{x^2}\cdots\]

jiteshmeghwal9
 one year ago
Best ResponseYou've already chosen the best response.1I m just gt confused just like my bro @maheshmeghwal9 :(

Yahoo!
 one year ago
Best ResponseYou've already chosen the best response.3Oh...i just Did to make calculation easy....if u dont get it...Go My The method used by sirm

jiteshmeghwal9
 one year ago
Best ResponseYou've already chosen the best response.1Well...now i gt it, thanx all of u a lot :) Mainly @Yahoo! thanx buddy ;)
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.