Question

me ajudem pfvr........​

Answer 1

Explicação passo-a-passo:

a) x²  - 49 = 0

a= 1;  b =  0; c =  -49

D = 0² - 4 . 1 . (-49)

D = 0 + 196

D = 196

x' = (-0 + 14)/(2 . 1)

x' = (0 + 14)/(2)

x' = (14)/(2)

x' = 7

x" = (-0 - 14)/(2 . 1)

x" =( 0 - 14)/( 2)

x'' = (-14)/( 2)

x'' = -7

S = {(-7, 7)}

b) x²  - 25 = 0

a = 1; b = 0; c = -25

D = 0² - 4 . 1 . (-25)

D = 0 + 100

D = 100

x' = (-0 + 10)/(2 . 1)

x' = (0 + 10)/(2)

x' = (10)/(2)

x' = 5

x" = (-0 - 10)/(2 . 1)

x" =( 0 - 10)/( 2)

x'' = (-10)/( 2)

x'' = -5

S = {(-5, 5)}

c) 2x²  - 72 = 0

a = 2; b = 0; c = -72

D = 0² - 4 . 2 . (-72)

D = 0 + 576

D = 576

x' = (-0 + 24)/(2 . 2)

x' = (0 + 24)/(4)

x' = (24)/(4)

x' = 6

x" = (-0 - 24)/(2 . 2)

x" =( 0 - 24)/( 4)

x'' = (-24)/( 4)

x'' = -6

S = {(-6, 6)}

d) 5x² - 20 = 0

a = 5; b = 0; c = -20

D = 0² - 4 . 5 . (-20)

D = 0 + 400

D = 400

x' = (-0 + 20)/(2 . 5)

x' = (0 + 20)/(10)

x' = (20)/(10)

x' = 2

x" = (-0 - 20)/(2 . 5)

x" =( 0 - 20)/( 10)

x'' = (-20)/( 10)

x'' = -2

S = {(-2, 2)}

e) 7x² - 14 = 0

a = 7; b = 0; c = -14

D = 0² - 4 . 7 . (-14)

D = 0 + 392

D = 392

x' = (V392)/(2 . 7)

x' = ( V392)/(14)

x" = ( - V392)/(2 . 7)

x" =( - V392)/( 14)

f) x² + 10 = 0

a = 1; b = 0; c = 10

D = 0² - 4 . 1 . 10

D = 0 - 40

D = -40

g) 6x²  - 24 = 0

a = 6; b = 0; c = -24

D = 0² - 4 . 6 . (-24)

D = 0 + 576

D = 576

x' = (-0 + 24)/(2 . 6)

x' = (0 + 24)/(12)

x' = (24)/(12)

x' = 2

x" = (-0 - 24)/(2 . 6)

x" =( 0 - 24)/( 12)

x'' = (-24)/( 12)

x'' = -2

S = {(-2, 2)}

h) 64x² - 1 = 0

a = 64; b = 0; c = -1

D = 0² - 4 . 64 . (-1)

D = 0 + 256

D = 256

x' = (-0 + 16)/(2 . 64)

x' = (0 + 16)/(128)

x' = (16)/(128)

x' = 1/8

x" = (-0 - 16)/(2 . 64)

x" =( 0 - 16)/( 128)

x'' = (-16)/( 128)

x'' = -1/8

S = {(-1/8, 1/8)}

i) 4x² - 64 = 0

a = 4; b = 0; c = -64

D = 0² - 4 . 4 . (-64)

D = 0 + 1024

D = 1024

x' = (-0 + 32)/(2 . 4)

x' = (0 + 32)/(8)

x' = (32)/(8)

x' = 4

x" = (-0 - 32)/(2 . 4)

x" =( 0 - 32)/( 8)

x'' = (-32)/( 8)

x'' = -4

S = {(-4, 4)}

j) -x² + 49 = 0

a = -1; b = 0; c = 49

D = 0² - 4 . (-1) . 49

D = 0 + 196

D = 196

x' = (-0 + 14)/(2 . (-1))

x' = (0 + 14)/(-2)

x' = (14)/(-2)

x' = -7

x" = (-0 - 14)/(2 . (-1))

x" =( 0 - 14)/( -2)

x'' = (-14)/( -2)

x'' = 7

S = {(7, -7)}

k) 100x² - 25 = 0

a = 100; b = 0; c = -25

D = 0² - 4 . 100 . (-25)

D = 0 + 10000

D = 10000

x' = (-0 + 100)/(2 . 100)

x' = (0 + 100)/(200)

x' = (100)/(200)

x' = 1/2

x" = (-0 - 100)/(2 . 100)

x" =( 0 - 100)/( 200)

x'' = (-100)/( 200)

x'' = -1/2

S = {(-1/2, 1/2)}