If alpha and beta are zeros of quadratic polynomial f(x)=x^2-p (x+1)-csuch that (alpha+1)(beta+1)=0then c is equal to
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Answer:
c = p/2
Step-by-step explanation:
the quadratic equation is x^2 - px - p - c
now alpha + beta = p
alpha * beta = -p
(alpha + 1)(beta + 1) = 0
alpha + beta + 2 (alpha * beta) = 0
p + ( -2p - 2c ) = 0
-p - 2c = 0
2c = p
c = p/2
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