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JEE Main20257 Apr 2025Evening ShiftMathematicsTrigonometric EquationsActual

The number of solutions of the equation 2 2 + 5 2 =2 ^3 5 2 in [- 2 , 2 ] is :

Options

  1. A7
  2. B5
  3. C6
  4. D7

Correct answer

A. 7

Step-by-step solution

aligned & 2 2 + 5 2 =2 ^3 5 2 & 1 2 (2 2 2 )+ 50 2 & = 1 2 ( 15 2 +3 5 2 ) aligned or solving aligned & 3 2 = 15 2 & 15 2 - 3 2 =0 & 2 30 9 2 =0 aligned 3 = n or 9 2 = m aligned & = n 3 = 2 ~m 9 & = - 2 , 3 , 0 & = - 4 9 , -2 9 , 4 9 , 2 9 aligned

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