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

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

Azteck
 one year 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
 one year 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
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0i dont get it... both of you :P

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

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

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

TeemoTheTerific
 one year 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
 one year 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
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0You get 3 as the denominator when you plug the values into the numerator...

TeemoTheTerific
 one year 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
 one year 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
 one year 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
 one year 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...

enka
 one year ago
Best ResponseYou've already chosen the best response.2i hope it is can help you

TeemoTheTerific
 one year ago
Best ResponseYou've already chosen the best response.0thank you enka
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