Respostas
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)}