Question

please help me with this​

Answer 1

Step-by-step explanation:

given polynomial is x² + x - 6

here, a = 1 , b = 1 , c = -6

we know that, α + β = -b/a and αβ = c/a

=> α + β = -1/1 = - 1 and αβ = -6/1 = - 6

=> (α + β )² = ( -1 )²

=> α² + β² + 2αβ = 1

=> α² + β² + 2(-6) = 1

=> α² + β² = 1 + 12 = 13

=> 1/α² + 1/β² = α² + β² / α²β²

=> 1/α² + 1/β² = 13 / (-6)² = 13 / 36