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AP EAMCET20228 Jul 2022Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If one solution of the equation h x- 4 5 h x=1 is x=0 , then the other solution is x =

Options

  1. A2 2
  2. B2 5
  3. C( 4 3 )
  4. D2 3

Correct answer

D. 2 3

Step-by-step solution

5 x-4 x=5 aligned & 5 ( e ^ n + e ^ - n 2 )-4 ( e ^ x - e ^ - x 2 )=5 & 5 e ^ n +5 e ^ - n -4 ex +4 e ^ - x =10 & e ^ n +9 e ^ - x =10 ( ex )^2-10 e ^ x +9=0 & ( ex )^2-9 e ^ x - e ^ x +9=0 & ( e ^ x -1 ) ( e ^ x -9 )=0 & e ^ x -1=0 e ^ x =1 x =0 & e ^ x -9=0 e ^ x =9 x = 9=2 3 aligned

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