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BITSAT2015MathematicsComplex NumberActual

The root of the equation 2(1+i) x²-4(2-i) x-5-3 i=0 which has greater modulus is

Options

  1. A3-5 i 2
  2. B5-3 i 2
  3. C3-i 2
  4. Dnone

Correct answer

A. 3-5 i 2

Step-by-step solution

aligned Roots &= 4(2-i) 16(2-i)²+8(1+i)(5+3 i) 4(1+i) &= 4-i 1+i or -i 1+i = 3-5 i 2 or -1-i 2 aligned

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