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MHT CET202122 Sep 2021Morning ShiftMathematicsComplex NumberActual

If x=1+2 i , then the value of x^3+7 x^2-x+16 is

Options

  1. A-17 -24 i
  2. B-17 + 24 i
  3. C17 - 24 i
  4. D17 + 24 i

Correct answer

B. -17 + 24 i

Step-by-step solution

We have x-1=2 i x^2-2 x+5=0 aligned x^3+7 x^2-x+16 & =x (x^2+7 x-1 )+16 & =x[(0)+9 x-6]+16 & =9 x^2-6 x+16 & =9 (x^2-2 x+5 )+12 x-29 & =-17+24 i aligned

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