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AP EAMCET2003MathematicsTrigonometric Equations

If 6 =32 ^5 -32 ^3 +3 x then x is equal to :

Options

  1. A2
  2. B2

Correct answer

3

Step-by-step solution

We have, 6 = 3(2 )=3 2 -4 ^3 2 =3 2 -4 8 ^3 ^3 =6 -32 ^3 (1- ^2 ) 6 =32 ^5 -32 ^3 +3 2 (i) Given that, 6 =32 ^5 -32 ^3 +3 x (ii) On comparing Eqs. (i) and (ii), we get 3 x=3 2 x= 2

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