can anyone answer this babies
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Answer:
c = - 1
Step-by-step explanation:
x² - p ( x + 1 ) + c
⇒ x² - p x - p + c
⇒ x² - p x + ( c - p )
Comparing with a x² + b x + c we get :
a = 1
b = - p
c = c - p .
Given :
( α + 1 )( β + 1 ) = 0
⇒ αβ + α + β + 1 = 0
Note that sum of roots = - b/a
α + β = - b / a
But b = - p
a = 1
So α + β = - ( - p ) / 1 = p
Product of roots = αβ = c / a
⇒ αβ = ( c - p )
Hence write this as :
αβ + α + β + 1 = 0
⇒ c - p + p + 1 = 0
⇒ c + 1 = 0
⇒ c = -1
The value of c is - 1.
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