Javascript (ES6), <strike>151</strike> 60 bytes
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New version, credits to @[Leaky Nun][1]

    x=i=>console.log('x='+x+';x('+(i*(5**.5+1)/2+.5|0)+')');x(2)

Old version :

    x=i=>{var s=Math.sqrt(5),a=1;f=n=>{return Math.ceil((((1+s)/2)**n-((1-s)/2)**n)/s)};while(f(++a)<=i);console.log('x='+String(x)+';x('+f(a)+')');};x(2)



Based on [this][2].


  [1]: https://codegolf.stackexchange.com/users/48934/leaky-nun
  [2]: https://stackoverflow.com/a/19892721/6882070