The roots of the equation 4x​3  + 16x2 - 9x - 36 = 0 given that sum of two of its roots is zero are ?
  1. 3 , -3 , -1
  2. -4 , 3/2 , -3/2
  3. 4 , 3/2 , -3/2
  4. 1 , -1 , -9 

Dear student, 

The given equation can be re-written as: 

     4x3 +16x2 - 9x - 36 = 0 4x2x +4 - 9x +4 = 0x +4 4x2 - 9= 0 x + 42x + 32x - 3 = 0x = -4; x = -32; x = 32Question also says that sum of two of its roots are zero and that is true for the values of x we got as:-32+32 = 0

Hence, the correct answer for this question is option (2).

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