Question

Give the solution of the ques.​

Answer 1

Answer:

4

Step-by-step explanation:

x^2-2 = 6x

Make the roots satisfy the eqn.... U get as the and put the value in question

Answer 2

Answer:

3  (that's the 4th option)

Step-by-step explanation:

As α is a root:

α² - 6α - 2 = 0  =>  α² = 6α + 2  => αⁿ⁺² = 6αⁿ⁺¹ + 2αⁿ      ... (1)

Similarly:

βⁿ⁺² = 6βⁿ⁺¹ + 2βⁿ      ... (2)

Subtracting equation (2) from equation (1) gives:

aₙ₊₂ = 6aₙ₊₁ + 2aₙ

Putting n = 8 into this relation:

a₁₀ = 6a₉ + 2a₈

=> a₁₀ - 2a₈ = 6a₉

=> ( a₁₀ - 2a₈ ) / 2a₉ = 3