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RicardoOhara
@RicardoOhara
January 2020
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A soma de dois números é igual a 5/2 , e o seu produto igual a 1/2 , que números são esses ?
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izildaaparecida
Verified answer
X + y = 5/2
x . y = 1/2
x + y = 5/2
x = 5/2 - y
substitui x
x . y = 1/2
(5/2 - y) . y = 1/2
-y² + 5 y/2 = 1/2
m.m.c = 2
-2 y /2 + 5 y /2 = 1/2 eliminar o denominador
-2 y + 5 y - 1 = 0
Δ = b² - 4.a.c
Δ = 5² - 4 . -2 -1
Δ = 25 - 8
Δ = 17 ⇒√17
x = -b + ou √17 / 2.-2
x´= -5 + √17/-4
x´´ = -5 - √17 / - 4
Os números são:-5 +\/¨¨17 / -4 e -5 - √17 / - 4.
0 votes
Thanks 1
mariocezar
{x+y=5/2
{x.y=1/2
{x=5/2-y
{x.y=1/2
(5/2-y).y=1/2
5/2y-y^2=1/2
2.5/2y-2y^2=2.1/2
5y-2y^2=1
5y-2y^2-1=0
ajustando !
2y^2-5y+1=0
aplicando baskara.
y= -(-5)+/- \/(-5)^2-4.2.1
-------------------------------
-------------2.2
y=5+/- \/ 25-8/4
y=5+/- \/17 /4
y=5+ \/17/4
y=5-\/ 17 /4
achar o x :
x=5/2-5+\/ 17/4
x=5/2 -5-\/17 /4
(x1 ; x2 )=>
(5/2-5\/17/4;5+\/17/4)
(x2,y2)=>
(5/2-5-\/17/4;5-\/17/4)
tirando a prova real :
{5/2 - 5+\/17/4+5+\/17/4=5/2
{(5/2-5+\/17/4)×5+\/17/4=1/2
{5/2-5-\/17/4+5-\/17/4=5/2
{(5/2-5-\/17/4)×5-\/17/4=1/2
concluindo as igualdades verdades !!
2.5=2.5
0.5=0.5
espero ter ajudado ; )
1 votes
Thanks 1
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Verified answer
X + y = 5/2x . y = 1/2
x + y = 5/2
x = 5/2 - y
substitui x
x . y = 1/2
(5/2 - y) . y = 1/2
-y² + 5 y/2 = 1/2
m.m.c = 2
-2 y /2 + 5 y /2 = 1/2 eliminar o denominador
-2 y + 5 y - 1 = 0
Δ = b² - 4.a.c
Δ = 5² - 4 . -2 -1
Δ = 25 - 8
Δ = 17 ⇒√17
x = -b + ou √17 / 2.-2
x´= -5 + √17/-4
x´´ = -5 - √17 / - 4
Os números são:-5 +\/¨¨17 / -4 e -5 - √17 / - 4.
{x.y=1/2
{x=5/2-y
{x.y=1/2
(5/2-y).y=1/2
5/2y-y^2=1/2
2.5/2y-2y^2=2.1/2
5y-2y^2=1
5y-2y^2-1=0
ajustando !
2y^2-5y+1=0
aplicando baskara.
y= -(-5)+/- \/(-5)^2-4.2.1
-------------------------------
-------------2.2
y=5+/- \/ 25-8/4
y=5+/- \/17 /4
y=5+ \/17/4
y=5-\/ 17 /4
achar o x :
x=5/2-5+\/ 17/4
x=5/2 -5-\/17 /4
(x1 ; x2 )=>
(5/2-5\/17/4;5+\/17/4)
(x2,y2)=>
(5/2-5-\/17/4;5-\/17/4)
tirando a prova real :
{5/2 - 5+\/17/4+5+\/17/4=5/2
{(5/2-5+\/17/4)×5+\/17/4=1/2
{5/2-5-\/17/4+5-\/17/4=5/2
{(5/2-5-\/17/4)×5-\/17/4=1/2
concluindo as igualdades verdades !!
2.5=2.5
0.5=0.5
espero ter ajudado ; )