JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

\alpha + \beta = - 2

and

{\alpha ^3} + {\beta ^3} = - 56

, then the quadratic equation whose roots are

\alpha

and

\beta

View answer and explanation

Correct option: D

{x^2} + 2x - 8 = 0

Option D (

{x^2} + 2x - 8 = 0

) is correct because given

\alpha + \beta = - 2

and

{\alpha ^3} + {\beta ^3} = - 56

, we can find

\alpha\beta = -8

and thus form the quadratic equation.

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