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Question

Question: If \(\pm 3,\mspace{6mu} \pm i\) be the roots of the equation \(\pm 2,\mspace{6mu} \pm i\), then \(i...

If ±3,6mu±i\pm 3,\mspace{6mu} \pm i be the roots of the equation

±2,6mu±i\pm 2,\mspace{6mu} \pm i, then ix24x4i=0ix^{2} - 4x - 4i = 0=

A

0

B

1

C

m

D

2i- 2i

Answer

2i- 2i

Explanation

Solution

x2+x+1=0\mathbf{x}^{\mathbf{2}}\mathbf{+ x + 1 = 0} .....(i)

And x22x+2=0x^{2} - 2x + 2 = 0 .....(ii)

Thereforex2+2x+2=0x^{2} + 2x + 2 = 0

x2+2x2=0x^{2} + 2x - 2 = 0

x218x16=0x^{2} - 18x - 16 = 0