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Number of solutions of 3 2 +8 +3 3 =0, [-3 , 2 ] is:

Options

  1. A0
  2. B5
  3. C3
  4. D4

Correct answer

B. 5

Step-by-step solution

Using 2 = 2 ^2 - 1 : 2 3 ^2 + 8 + 2 3 = 0 3 ^2 + 4 + 3 = 0 . = -4 2 2 3 , giving = - 1 3 or = - 3 (rejected). Let = ⁻¹(-1/ 3 ) 2.186 rad. General solution: = 2n . In [-3 , 2 ] : = , - , 2 - , -2 + , -2 - . Total = 5 solutions.

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