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Dijales
@Dijales
May 2020
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Sabendo que X² + Y² = 34 e que XY = 15, quanto vale (X+Y)² ?
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ribass
Verified answer
(x+y)(x+y)=
x^2 + y^2 + 2xy
34 + 2(15)
34+30
64
4 votes
Thanks 15
poty
(X+Y)² = X² + 2XY + Y² ------------------> X²+Y² = 34
XY = 15
Substituindo pelos valores dados:
(X² + Y²) + 2XY =
34 + 2(15) =
34 + 30 =
64
(X + Y)² = 64
4 votes
Thanks 13
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Lista de comentários
Verified answer
(x+y)(x+y)=x^2 + y^2 + 2xy
34 + 2(15)
34+30
64
XY = 15
Substituindo pelos valores dados:
(X² + Y²) + 2XY =
34 + 2(15) =
34 + 30 = 64
(X + Y)² = 64