A community for students.
Here's the question you clicked on:
 0 viewing
jiteshmeghwal9
 3 years ago
If \(\LARGE{x^2=\frac{1}{x^2}+1}\), then \(\LARGE{x^2+\frac{1}{x^2}=?}\)
jiteshmeghwal9
 3 years ago
If \(\LARGE{x^2=\frac{1}{x^2}+1}\), then \(\LARGE{x^2+\frac{1}{x^2}=?}\)

This Question is Closed

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

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

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0x^4 = x^2 + 1 x^4  x^2  1 = 0 put y = x^2

ParthKohli
 3 years 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
 3 years ago
Best ResponseYou've already chosen the best response.1from where do u gt x^4?

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Solve the given Equation @jiteshmeghwal9 x^2 = 1 + 1/x^2

ParthKohli
 3 years 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
 3 years ago
Best ResponseYou've already chosen the best response.1Oops sorry i misread it

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

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0x^4x^21=0 put x^2=t t^2t1=0 solve it

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

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

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0substitute for x^2 in the expression needed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Hm..Hm...After Solving i got sqrt5

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

anonymous
 3 years 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)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@jiteshmeghwal9 ..Can u Check...ur Solution

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Is it sqrt5 or sqrt5

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0x^2 + 1 / x^2 = (x^4 + 1) / x^2

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0x^4=x^2+1 (x^2+2) / x^2 = 1 + 2/x^2

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[x^2=1/x^2+1\\x^4=1+x^2\\x^4x^21=0\]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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0nw put the value of x^2

jiteshmeghwal9
 3 years 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 :)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Lol....Then...Go By My method

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.01 + 2/x^2 1 + 4 / (1 + sqrt5) (5 + sqrt5)/ (1 + sqrt5) rationalize... u will get (4 sqrt 5)/4 = sqrt5

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

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[x^2=\frac{1+\sqrt 5}{2}\\\frac{1}{x^2}=\frac{2}{1+\sqrt 5}\cdot\frac{1\sqrt 5}{1\sqrt 5}=\frac{1}{2}+\frac{\sqrt 5}{2}\\x^2+\frac{1}{x^2}=(1/2+\sqrt 5/2)+(1/2+\sqrt 5/2)=\sqrt {5}\]

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Oh...i just Did to make calculation easy....if u dont get it...Go My The method used by sirm

jiteshmeghwal9
 3 years 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
Sign UpFind 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.