Resposta



A)

a=1

b= -6

c= 9

∆= b² - 4.a.c

∆ = (-6)²-4.1.9

∆ = 36-36

∆ = 0

x = (-b ± √∆) / 2a

x = (-(-6) ± √0) / 2.1

x = (6 ± 0) / 2

x'= (6-0) / 2

x'= 6 / 2

x'= 3

x''= (6+0) / 2

x''= 6 / 2

x''= 3

S=( 3 )



B)

a=1

b= -6

c= 8

∆= b² - 4.a.c

∆ = (-6)²-4.1.8

∆ = 36-32

∆ = 4

x = (-b ± √∆) / 2a

x = (-(-6) ± √4) / 2.1

x = (6 ± 2 / 2

x'= (6-2) / 2

x'= 4 / 2

x'= 2

x''= (6+2) / 2

x''= 8 / 2

x''= 4

S=( 2;4 )



C)

a=1

b= -1

c= -6

∆= b² - 4.a.c

∆ = (-1)²-4.1.(-6)

∆ = 1+24

∆ = 25

x = (-b ± √∆) / 2a

x = (-(-1) ± √25) / 2.1

x = (1 ± 5) / 2

x'= (1+5) / 2

x'= 6 / 2

x'= 3

x''= (1-5) / 2

x''= -4 / 2

x''= - 2

S=( -2;3)



D)

a=1

b= -3

c= -10

∆= b² - 4.a.c

∆ = (-3)²-4.1.(-10)

∆ = 9+40

∆ = 49

x = (-b ± √∆) / 2a

x = (-(-3) ± √49) / 2.1

x = (3 ± 7) / 2

x'= (3-7) / 2

x'= -4 / 2

x'= -2

x''= (3+7) / 2

x''= 10 / 2

x''= 5

S=( -2;5 )

A)x=1 e x=3

B)x=4 e x=2

C)x=3 e x=-2

D)x=3 e x=-2

Explicação passo a passo