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AP EAMCET2005MathematicsFunctions

x= 1 2 ( 3 + 1 3 ) , then x^2-1 x- x^2-1 is equal to

Options

  1. A1
  2. B2
  3. C3
  4. D1 2

Correct answer

A. 1

Step-by-step solution

Given that or aligned x & = 1 2 ( 3 + 1 3 ) x^2 & = 1 4 (3+ 1 3 +2 )= 4 3 aligned Now, aligned x^2-1 x- x^2-1 & = x^2-1 x- x^2-1 x+ x^2-1 x+ x^2-1 & = x x^2-1 + (x^2-1 ) 1 & = 1 2 ( 3 + 1 3 ) 4 3 -1 + ( 4 3 -1 ) & = 1 2 ( 4 3 ) 1 3 + 1 3 2 3 + 1 3 =1 aligned

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