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AP EAMCET2006MathematicsQuadratic Equation

If x= 2+ 3 2- 3 , then x^2(x-4)^2 is equal to :

Options

  1. A7
  2. B4
  3. C2
  4. D1

Correct answer

D. 1

Step-by-step solution

x= 2+ 3 2- 3 = (2+ 3 )(2+ 3 ) (2- 3 )(2+ 3 ) = 2+ 3 4-3 =2+ 3 x^2(x-4)^2=(2+ 3 )^2(2+ 3 -4)^2=( 3 +2)^2( 3 -2)^2= [( 3 )^2-(2)^2 ]^2=(3-4)^2=(-1)^2=1

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