The roots of the equation $i x^{2} - 4 x - 4 i$ = 0 are

2 ,-2 $i$

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2 $i$

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-2 $i$ , -2 $i$

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2 $i$ , 2 $i$

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Solution

The correct option is C
-2 $i$ , -2 $i$

we have $i x^{2} - 4 x - 4 i$ = 0

⇒ $x^{2} + 4 i x - 4$ = 0 ⇒ $x^{2} + 2 i x + 2 i x - 4$ = 0

⇒ ( $x$ + 2 $i$ )( $x$ + 2 $i$ ) = 0 ⇒ $x$ = -2 $i$ , -2 $i$

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The roots of the equation $i x^{2} - 4 x - 4 i$ = 0 are

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