Complex Numbers and Quadratic Equations: JEE Main 2020 Mathematics question

JEE Main 2020 · 6 Sep, Morning shift · Q5138

JEE Main 20206 Sep, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

\alpha

and

\beta

be two roots of the equation x² – 64x + 256 = 0. Then the value of

{\left( {{{{\alpha ^3}} \over {{\beta ^5}}}} \right)^{1/8}} + {\left( {{{{\beta ^3}} \over {{\alpha ^5}}}} \right)^{1/8}}

is :

JEE Main 2020 · 6 Sep, Morning shift · Q5138

JEE Main 20206 Sep, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

\alpha

and

\beta

be two roots of the equation x² – 64x + 256 = 0. Then the value of

{\left( {{{{\alpha ^3}} \over {{\beta ^5}}}} \right)^{1/8}} + {\left( {{{{\beta ^3}} \over {{\alpha ^5}}}} \right)^{1/8}}

is :

More on Complex Numbers and Quadratic Equations