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help me on a question please...
x= 1/2 +1/2sqrt5
show that...
 one year ago
 one year ago
help me on a question please... x= 1/2 +1/2sqrt5 show that...
 one year ago
 one year ago

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

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

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

enkaBest 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
 one year ago

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

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

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

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

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

TeemoTheTerificBest ResponseYou've already chosen the best response.0
but no matter how manytimes i try i can never get it to equal 3
 one year ago

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

AzteckBest ResponseYou've already chosen the best response.0
Jeez, you have a tool that can help you but you don't want to use it.
 one year ago

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

TeemoTheTerificBest ResponseYou've already chosen the best response.0
we need to show our working our using our skill of indices laws... But i dont have much
 one year ago

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

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

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

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

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