Let α = max x R 8^(2 sin 3x).4^(4 cos 3x) and β = min x R 8^(2 sin 3x).4^(4 cos 3x). If 8x² + bx + 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:

Complex Numbers and Quadratic Equations: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Jul, Evening shift · Q5152

JEE Main 202127 Jul, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let

\alpha = \mathop {\max }\limits_{x \in R} \{ {8^{2\sin 3x}}{.4^{4\cos 3x}}\}

and

\beta = \mathop {\min }\limits_{x \in R} \{ {8^{2\sin 3x}}{.4^{4\cos 3x}}\}

. If

8{x^2} + bx + c = 0

is a quadratic equation whose roots are

\alpha

¹/5 and

\beta

¹/5, then the value of c

-

b is equal to :