Let α=maxx∈R{82sin3x⋅44cos3x} and β=minx∈R{82sin3x⋅44cos3x}. – InterviewSolution

1.	Let α=maxx∈R{82sin3x⋅44cos3x} and β=minx∈R{82sin3x⋅44cos3x}.If 8x2+bx+c=0 is a quadratic equation whose roots are α1/5 and β1/5, then the value of c−b is equal to
Answer» Let $α = max x \in R {8^{2 sin 3 x} \cdot 4^{4 cos 3 x}}$ and $β = min x \in R {8^{2 sin 3 x} \cdot 4^{4 cos 3 x}} .$ If $8 x^{2} + b x + c = 0$ is a quadratic equation whose roots are $α^{1 / 5}$ and $β^{1 / 5}$ , then the value of $c - b$ is equal to

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