A community for students.
Here's the question you clicked on:
 0 viewing
TeemoTheTerific
 2 years ago
help me on a question please...
x= 1/2 +1/2sqrt5
show that...
TeemoTheTerific
 2 years ago
help me on a question please... x= 1/2 +1/2sqrt5 show that...

This Question is Closed

TeemoTheTerific
 2 years ago
Best ResponseYou've already chosen the best response.0\[x=\frac{ 1 }{ 2 } + \frac{ 1 }{ 2 }\sqrt{5}\]

TeemoTheTerific
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac{ x^{2}+x ^{2} }{ xx ^{1} }=3\]

Azteck
 2 years ago
Best ResponseYou've already chosen the best response.0\[x=\frac{1}{2}+\frac{\sqrt{5}}{2}\] \[x=\dfrac{1+\sqrt{5}}{2}\]

enka
 2 years ago
Best ResponseYou've already chosen the best response.2\[x=\frac{1+\sqrt{5}}{2}\\ \frac{1}{x}=\frac{2}{1+\sqrt{5}}\times\frac{\sqrt{5}1}{\sqrt{5}1}=\frac{2\sqrt{5}1}{4}=\frac{\sqrt{5}1}{2}\] then \[x\frac{1}{x}=1\qquad(1)\] square both side to get: \[x^2+\frac{1}{x^2}2=1\\ x^2+\frac{1}{x^2}=3\qquad(3)\] now divide (3) by (1) to get the result

Azteck
 2 years ago
Best ResponseYou've already chosen the best response.0\[x^2+x^{2}=3x3x^{1}\] Multiply both sides by x^2. \[x^4+1=3x^33x\] \[x^43x^3+3x+1=0\]

TeemoTheTerific
 2 years ago
Best ResponseYou've already chosen the best response.0i dont get it... both of you :P

enka
 2 years ago
Best ResponseYou've already chosen the best response.2first, we find the value of \[x\frac{1}{x}\]

Azteck
 2 years ago
Best ResponseYou've already chosen the best response.0You just sub in \[\frac{1+\sqrt{5}}{2}\] into the original equation....

Azteck
 2 years ago
Best ResponseYou've already chosen the best response.0And you prove that the LHS=RHS.

TeemoTheTerific
 2 years ago
Best ResponseYou've already chosen the best response.0but no matter how manytimes i try i can never get it to equal 3

Azteck
 2 years ago
Best ResponseYou've already chosen the best response.0Use a calculator if you can't do it....Use a calculator to solve the denominator first. You get one as the denominator...

Azteck
 2 years ago
Best ResponseYou've already chosen the best response.0Jeez, you have a tool that can help you but you don't want to use it.

Azteck
 2 years ago
Best ResponseYou've already chosen the best response.0You get 3 as the denominator when you plug the values into the numerator...

TeemoTheTerific
 2 years ago
Best ResponseYou've already chosen the best response.0we need to show our working our using our skill of indices laws... But i dont have much

Azteck
 2 years ago
Best ResponseYou've already chosen the best response.0There's no indice work when you learn that \[x^{1}=\frac{1}{x^1}\] \[x^{2}=\frac{1}{x^2}\]

Azteck
 2 years ago
Best ResponseYou've already chosen the best response.0Dude, now once you see the letter x, put that big fat fraction into your calculator and get your values...

Azteck
 2 years ago
Best ResponseYou've already chosen the best response.0I can solve that by hand but that will take me ages, to write it on the computer, so no thank you...
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.