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Quadratic Equation and Inequalities question

2021 · 26 Feb · Shift 2 · Q42

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2021 · 26 Feb · Shift 2 · Q42

Quadratic Equation and Inequalities question

2021 · 26 Feb · Shift 2 · Q42

JEE MainMathematicsQuadratic Equation and InequalitiesNumerical+4 / −1

Let

\alpha

and

\beta

be two real numbers such that

\alpha

+

\beta

= 1 and

\alpha\beta

=

-

1. Let pn = (

\alpha

)n + (

\beta

)n, pn

-

1 = 11 and pn+1 = 29 for some integer n

\ge

1. Then, the value of p

_n^2

is

\underline{\hspace{2cm}}

.

Numerical answer

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