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TeemoTheTerific
 3 years ago
help me on a question please...
x= 1/2 +1/2sqrt5
show that...
TeemoTheTerific
 3 years ago
help me on a question please... x= 1/2 +1/2sqrt5 show that...

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

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

Azteck
 3 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
 3 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
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0i dont get it... both of you :P

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

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

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

TeemoTheTerific
 3 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
 3 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
 3 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
 3 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
 3 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
 3 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
 3 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
 3 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...
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