The roots of equation x^2-(5+i) x+18-i=0 are - Vidyadip

MCQ

The roots of equation $x^2-(5+i) x+18-i=0$ are

A
$\frac{3+i \pm(7 i+3)}{2}$
B
$\frac{3 \pm(7 i+3)}{2}$
C
$\frac{5 \pm(7 i +1)}{2}$
✓
$\frac{5+i \pm(7 i+1)}{2}$

✓

Answer

Correct option: D.

$\frac{5+i \pm(7 i+1)}{2}$

(D)
$x=\frac{5+ i \pm \sqrt{(5+ i )^2-4(18- i )}}{2(1)}$
$=\frac{5+ i \pm \sqrt{-48+14 i }}{2}$
$=\frac{5+ i \pm(7 i +1)}{2}$

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