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Question #fee42

1 Answer

Vinícius Ferraz

Dec 27, 2016

#a + b in {-1, 0}#

Explanation:

#x^2 - Sx + P = 0#

(1) #S = a + b = -a#
(2) #P = ab = b \Rightarrow b (ab - b)/b = 0 \Rightarrow b(a - 1) = 0 \Rightarrow a = 1 or b = 0#

if a = 1 then by (1), #1 + b = -1 \Rightarrow b = -2#

if b = 0 then by (1), #a + 0 = -a \Rightarrow 2a = 0 \Rightarrow a = 0#

#(a,b) = (1, -2) or (0,0)#

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