Question

If alpha bita are the zeroes of the polynomial x²+7x+7 then find the value of 1/alpha+1/bita-2alphabita

Answer 1

ur answer is here....

Answer 2

Hi there!

Here's your answer :-

Given --
α and β  are  zeroes of  polynomial  x² + 7 x + 7

→ Sum of zeroes, α + β = -b / a = -(7) / 1 = -7     
→ Product of zeroes, αβ = c / a = 7 / 1 =  7    
 
Now,

1/α + 1/β + 2 αβ
    
=  (α + β) / αβ  +  2 αβ
    
=  -7 / 7 - 2 × (7)

= -1 - 14

= -15

Hence,
The required answer is :- [ - 15 ]

Hope it helps!