Question

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Answer 1

Explicação passo-a-passo:

a) x² - 7x + 10 = 0

a= 1; b = -7; c = 10

D = -7² - 4 . 1 . 10

D = 49 - 40

D = 9

x' = (-(-7) + 3)/(2 . 1)

x' = (7 + 3)/(2)

x' = (10)/(2)

x' = 5

x" = (-(-7) - 3)/(2 . 1)

x" =( 7 - 3)/( 2)

x'' = (4)/( 2)

x'' = 2

S = {(2, 5)}

b) x² - 6x + 9 = 0

a = 1; b = -6; c = 9

D = (-6)² - 4 . 1 . 9

D = 36 - 36

D = 0

x' = (-(-6) + 0)/(2 . 1)

x' = (6 + 0)/(2)

x' = (6)/(2)

x' = 3

x" = (-(-6) - 0)/(2 . 1)

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

x'' = (6)/( 2)

x'' = 3

S = {(3, 3)}

c) -x² + x - 7 = 0

a = -1; b = 1; c = -7

D = 1² - 4 . -1 . (-7)

D = 1 - 28

D = -27

Siga fundamentalmatematica no inst@gr@m

d) -4x² + 0x + 4 = 0

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

D = 0² - 4 . -4 . 4

D = 0 + 64

D = 64

x' = (-0 + 8)/(2 . (-4))

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

x' = (8)/(-8)

x' = -1

x" = (-0 - 8)/(2 . (-4))

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

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

x'' = 1

S = {(1, -1)}

e) 1/2x² + 6x + = 0

a = 1/2; b = 6; c = 0

D = 6² - 4 . 0,5 . 0

D = 36 - 0

D = 36

x' = (-6 + 6)/(2 . 1/2)

x' = (-6 + 6)/(1)

x' = (0)/(1)

x' = 0

x" = (-6 - 6)/(2 . 1/2)

x" =( -6 - 6)/( 1)

x'' = (-12)/( 1)

x'' = -12

S = {(-12, 0)}

f) -2x² + 3x - 5 = 0

a = -2; b = 3; c = -5

D = 3² - 4 . -2 . (-5)

D = 9 - 40

D = -31

g) 3x² + x - 2 = 0

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

D = 1² - 4 . 3 . (-2)

D = 1 + 24

D = 25

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

x' = (-1 + 5)/(6)

x' = (4)/(6)

x' = 2/3

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

x" =( -1 - 5)/( 6)

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

x'' = -1

S = {(-1, 2/3)}

h) -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)}