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Question

The square of (2x -1) is equal to 5. If one of the values of x satisfying the given relation is 152, what is the value of x


  1. x = (-1 - √5)/2

  2. x = (-1 + √5)/2

  3. x= (1 + √6)/2

  4. x= (1 + √5)/2


Solution

The correct option is D

x= (1 + √5)/2


(2x1)2 = 5

(2x1)=±5

2x=±5+1

x=(1±5)/2

x = 1+52 or x= 152

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