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AP EAMCET · Maths · Complex Number

Solve: ix2-3x-2i=0

  1. A -i only
  2. B -2i only
  3. C -i and -2i
  4. D i only
Verified Solution

Answer & Solution

Correct Answer

(C) -i and -2i

Step-by-step Solution

Detailed explanation

Given, ix2-3x-2i=0 ⇒ix2+3i2x-2i=0 ⇒ix2+i2x+2i2x+2i3=0 ⇒ix(x+i)+2i2(x+i)=0 ⇒(x+i)(x+2i)=0 ⇒x=-i, -2i.