Question

if alpha, ß are the roots of x²-x+1=0 then 1/alpha² + 1/beta²=?​

Answer 1

Answer:

2

hope the given answer helps you

Answer 2

Answer:

-1

Step-by-step explanation:

α+β= _b/a=-(-1)/1=1

αβ=c/a=1/1=1

1/α²+1/β²=β²+α²/α²β²⇒α²+β²/(αβ)²

⇒α²+β²/(αβ)²=(α+β)²-2αβ/(αβ)² [by formula α²+β²=(α+β)²-2αβ]

⇒α²+β²/(αβ)²=1²-2(1)/1²=1-2/1=-1