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In $ΔABC$ , a = 4 b = 3 $A = 60 °$ then C is root of equation

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$C^{2} - 3 C - 7 = 0$

$C^{2} + 3 C + 7 = 0$

$C^{2} - 3 C + 7 = 0$

$C^{2} + 3 C - 7 = 0$

answer is A.

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Detailed Solution

$a^{2} = b^{2} + c^{2} - 2 b c \cos A 16 = 9 + C^{2} - 2 \times 3 \times C \frac{1}{2} C^{2} - 3 C - 7 = 0$

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