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3x^2 + 3x - 3 = 0 x = ?

 Feb 18, 2015

Best Answer 

 #2
avatar+130477 
+5

3x^2 + 3x - 3 = 0    divide everything by 3

x^2 + x - 1  = 0

This cannot be be factored, but the solutions lead to two very important numbers........  - Phi and phi...

Here they are

x2+x1=0{x=(5+1)2x=(51)2}{x=1.6180339887498948x=0.6180339887498948}

The negative of the larger number is Phi.......and the smaller number is the reciprocal of this.....

 

 Feb 18, 2015
 #1
avatar+7188 
+5

3×x2+3×x3=0{x=(5+1)2x=(51)2}{x=1.6180339887498948x=0.6180339887498948}

.
 Feb 18, 2015
 #2
avatar+130477 
+5
Best Answer

3x^2 + 3x - 3 = 0    divide everything by 3

x^2 + x - 1  = 0

This cannot be be factored, but the solutions lead to two very important numbers........  - Phi and phi...

Here they are

x2+x1=0{x=(5+1)2x=(51)2}{x=1.6180339887498948x=0.6180339887498948}

The negative of the larger number is Phi.......and the smaller number is the reciprocal of this.....

 

CPhill Feb 18, 2015

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