Quadratic Equation and Inequalities

JEE Main 2020 · 6 Sep, Morning shift · Q5138

MathematicsMedium129×since 2002Q5138

\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

MathematicsMedium129×since 2002Q5138

\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 :

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