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MHT CET202613 April 2026Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If 3 = 4 (x+ ) (x- ) where n , n Z , then all possible values of x are given as

Options

  1. Ax = n 3 , n Z
  2. Bx = n 4 , n Z
  3. Cx = n 6 , n Z
  4. Dx = n 2 , n Z

Correct answer

A. x = n 3 , n Z

Step-by-step solution

Given equation is 3 = 4 (x+ ) (x- ) Using the identities 3 = 3 - 4 ^3 and (A+B) (A-B) = ^2 A - ^2 B , we get: 3 - 4 ^3 = 4 ( ^2 x - ^2 ) 3 - 4 ^3 = 4 ^2 x - 4 ^3 3 = 4 ^2 x Since n , 0 . Dividing both sides by , we get: 3 = 4 ^2 x ^2 x = 3 4 ^2 x = ( 3 2 )^2 ^2 x = ^2 ( 3 ) The general solution is x = n 3 , n Z . Answer: x = n 3 , n Z

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