Question

If alpha,beta are the roots of x^2-x+2=0,then alpha^2beta+alphabeta^2 is

Answer 1

$\huge\mathfrak{\underline{\underline{\red{answer}}}}$

Here α and β are the roots of the equation

x² + x + 2 = 0

Therefore, α + β = -1/1

Or, α + β = -1

and αβ = 2/1

Or, αβ = 2

Now, (α¹°+β¹°)/{α^(-10)+β^(2)}

= (α¹°+β¹°)/(1/α¹° +1/β¹°)

= {(α¹°+β¹°)/(α¹°+β¹°)}×(αβ)¹°

= (αβ)¹°

= (2)¹°

= 1024

Answer 2

Answer:

1024 is the correct answer of your question