JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Application +4 | -1

Let

\alpha ,\beta ,\delta

be the roots of

{x^4} + {x^2} + 1 = 0.

Then, the equation whose roots are

{\alpha ^2},{\beta ^2},{\gamma ^2},{\delta ^2}

View answer and explanation

Correct option: B

{\left( {{x^2} + x + 1} \right)^2} = 0

The correct answer is B (

{\left( {{x^2} + x + 1} \right)^2} = 0

) because substituting

y = x^2

transforms the equation and squaring the result gives the desired equation.

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