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MrNERDBURRO
@MrNERDBURRO
December 2019
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Resolva os sistemas : x+y=9 xy=-10
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x+y=9 ==>x=9-y (i)
xy=-10 ==>x=-10/y (ii)
(ii) em (i)
-10/y=9-y
multiplique tudo por y
-10=9y-y²
y²-9y-10=0
y'=[9+
√(81+40)]/2= (9+11)/2=10
y''=[9-√(81+40)]/2= (9-11)/2=-1
Se y=-1 ==>x=9-y=9+1=10
Se y=10 ==>x=9 -10 =-1
Resposta {(10,-1) ; (-1,10)}
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Lista de comentários
xy=-10 ==>x=-10/y (ii)
(ii) em (i)
-10/y=9-y
multiplique tudo por y
-10=9y-y²
y²-9y-10=0
y'=[9+√(81+40)]/2= (9+11)/2=10
y''=[9-√(81+40)]/2= (9-11)/2=-1
Se y=-1 ==>x=9-y=9+1=10
Se y=10 ==>x=9 -10 =-1
Resposta {(10,-1) ; (-1,10)}