Let \( a, b, c \) be real numbers, \( a=0 \), if \( \alpha \) is roots of \( a^{2} x^{2}+b x+ \)... VIDEO
Let \( a, b, c \) be real numbers, \( a=0 \), if \( \alpha \) is roots of \( a^{2} x^{2}+b x+ \) \( c=0 \). \( \beta \) is the root of \( a^{2} x^{2}-b x-c=0 \) and \( 0\alpha\beta \), then the equation \( a^{2} x^{2}+2 b x+2 c=0 \) has a root \( \gamma \) that always satisfies
(a) \( \gamma=\frac{\alpha+\beta}{2} \)
(b) \( \gamma=\alpha+\frac{\beta}{2} \)
(c) \( \gamma=\alpha \)
(d) \( \alpha\gamma\beta \)
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