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If \(\LARGE{x^2=\frac{1}{x^2}+1}\), then \(\LARGE{x^2+\frac{1}{x^2}=?}\)
 one year ago
 one year ago
If \(\LARGE{x^2=\frac{1}{x^2}+1}\), then \(\LARGE{x^2+\frac{1}{x^2}=?}\)
 one year ago
 one year ago

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jiteshmeghwal9Best ResponseYou've already chosen the best response.1
@hartnn @ParthKohli @ajprincess plz help :)
 one year ago

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

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

jiteshmeghwal9Best ResponseYou've already chosen the best response.1
\[\Huge{\color{red}{Ans.\sqrt{5}}}\]
 one year ago

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

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

jiteshmeghwal9Best ResponseYou've already chosen the best response.1
from where do u gt x^4?
 one year ago

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

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

ParthKohliBest 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.
 one year ago

jiteshmeghwal9Best ResponseYou've already chosen the best response.1
Oops sorry i misread it
 one year ago

jiteshmeghwal9Best ResponseYou've already chosen the best response.1
AArgh.... I'm going to be crazy :(
 one year ago

jiteshmeghwal9Best ResponseYou've already chosen the best response.1
Sorry dudes but i'm nt getting the right thing :(
 one year ago

rahul91Best ResponseYou've already chosen the best response.0
x^4x^21=0 put x^2=t t^2t1=0 solve it
 one year ago

jiteshmeghwal9Best ResponseYou've already chosen the best response.1
using quadratic formula ?
 one year ago

jiteshmeghwal9Best ResponseYou've already chosen the best response.1
\[{1 \pm \sqrt{1+4}\over2}={1 \pm \sqrt{5}\over2}\]
 one year ago

jiteshmeghwal9Best ResponseYou've already chosen the best response.1
No.. i'm nt getting answer
 one year ago

rahul91Best ResponseYou've already chosen the best response.0
substitute for x^2 in the expression needed
 one year ago

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

jiteshmeghwal9Best ResponseYou've already chosen the best response.1
can anybody give me steps to the solution, i'm getting confused :((((
 one year ago

rahul91Best ResponseYou've already chosen the best response.0
hey substitute x^2= (1sqrt(5))/2 in the expression u get the answer sqrt(5)
 one year ago

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

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

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

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

sirm3dBest 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
 one year ago

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

jiteshmeghwal9Best ResponseYou've already chosen the best response.1
well \(\sqrt{5}=\pm\sqrt{5}\) but in my book it is only given \(\sqrt{5}\) as answer :)
 one year ago

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

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

jiteshmeghwal9Best ResponseYou've already chosen the best response.1
A little doubt here, just last doubt
 one year ago

jiteshmeghwal9Best ResponseYou've already chosen the best response.1
(x^2+2) / x^2 = 1 + 2/x^2 how did u gt this ?
 one year ago

sirm3dBest ResponseYou've already chosen the best response.1
\[x^2=\frac{1+\sqrt 5}{2}\\\frac{1}{x^2}=\frac{2}{1+\sqrt 5}\cdot\frac{1\sqrt 5}{1\sqrt 5}=\frac{1}{2}+\frac{\sqrt 5}{2}\\x^2+\frac{1}{x^2}=(1/2+\sqrt 5/2)+(1/2+\sqrt 5/2)=\sqrt {5}\]
 one year ago

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

jiteshmeghwal9Best ResponseYou've already chosen the best response.1
I m just gt confused just like my bro @maheshmeghwal9 :(
 one year ago

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

jiteshmeghwal9Best ResponseYou've already chosen the best response.1
Well...now i gt it, thanx all of u a lot :) Mainly @Yahoo! thanx buddy ;)
 one year ago
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