Quadratic Equations | JEE Main 2025 Solution| Sequence Roots

JEE MAIN 2025

02-04-2025 SHIFT-1

Question

Let ${P_n} = {\alpha ^n} + {\beta ^n},n \in N$ . If ${P_{10}} = 123,{P_9} = 76,{P_8} = 47$ and ${P_1} = 1$, then the quadratic equation having roots $\frac{1}{\alpha }$ and $\frac{1}{\beta }$ is :

Select the correct option:

${x^2} - x + 1 = 0$

${x^2} - x - 1 = 0$

${x^2} + x + 1 = 0$

${x^2} + x - 1 = 0$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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