Question

resolva as equações do 2° grau ​

Answer 1

Explicação passo-a-passo:

a) x² - 49 = 0

x² = 0 + 49

x² = 49

x² = 49/1

x² = 49

x = V49

x' = 7

x'' = -7

b) x² - 64 = 0

x² = 0 + 64

x² = 64

x² = 64/1

x² = 64

x = V64

x' = 8

x'' = -8

c) 2x² - 50 = 0

2x² = 0 + 50

2x² = 50

x² = 50/2

x² = 25

x = V25

x' = 5

x'' = -5

d) x² - 4x = 0

x(x - 4) = 0

x' = 0

x - 4 = 0

x = 0 + 4

x'' = 4

x = 4/1

x'' = 4

e)x² + 10x = 0

x(x + 10) = 0

x' = 0

x + 10 = 0

x = 0 - 10

x'' = -10

x = -10/1

x'' = -10

a) x² - 3x - 4 = 0

a= 1; b = -3; c = -4

D = -3² - 4 . 1 . (-4)

D = 9 + 16

D = 25

x' = (-(-3) + 5)/(2 . 1)

x' = (3 + 5)/(2)

x' = (8)/(2)

x' = 4

x" = (-(-3) - 5)/(2 . 1)

x" =( 3 - 5)/( 2)

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

x'' = -1

S = {(-1, 4)}

b) x² + 8x + 16 = 0

a = 1; b = 8; c = 16

D = 8² - 4 . 1 . 16

D = 64 - 64

D = 0

x' = (-8 + 0)/(2 . 1)

x' = (-8 + 0)/(2)

x' = (-8)/(2)

x' = -4

x" = (-8 - 0)/(2 . 1)

x" =( -8 - 0)/( 2)

x'' = (-8)/( 2)

x'' = -4

S = {(-4, -4)}

c) 3x² - 2x - 1 = 0

a = 3; b = -2; c = -1

D = (-2)² - 4 . 3 . (-1)

D = 4 + 12

D = 16

x' = (-(-2) + 4)/(2 . 3)

x' = (2 + 4)/(6)

x' = (6)/(6)

x' = 1

x" = (-(-2) - 4)/(2 . 3)

x" =( 2 - 4)/( 6)

x'' = (-2)/( 6)

x'' = -1/3

S = {(-1/3, 1)}

d) 4x² - 2x + 1 = 0

a = 4; b = -2; c = 1

D = (-2)² - 4 . 4 . 1

D = 4 - 16

D = -12