JEE MATHEMATICS MCQ: THEORY OF EQUATION

1 Hard

1 of 1

Analyzing +4 | -1

\alpha ,\beta ,\gamma

are the roots of the equation

{x^3} - 7x + 7 = 0

then,

\frac{1}{{{\alpha ^4}}} + \frac{1}{{{\beta ^4}}} + \frac{1}{{{\gamma ^4}}}

View answer and explanation

Correct option: B

\frac{3}{7}

Option B is correct because the value of the expression

\frac{1}{{{\alpha ^4}}} + \frac{1}{{{\beta ^4}}} + \frac{1}{{{\gamma ^4}}}

simplifies to 3/7 using Vieta's formulas and algebraic manipulation.

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