Question

DELTA DISCRIMINANTE
X² - 6X + 8 = 0 3X² - 18X + 15 = 0

X² - 10 + 25 = 0 3X² - 2X + 1 = 0

3X² - 2X + 5 = 0

Answer 1

X² - 6X + 8 = 0

delta = b² - 4.a.c

delta = (-6)² - 4.1.8

delta = 36 - 32

delta = 4

x = ( - b +- raiz de delta ) / 2.a

x = ( - (-6) +- raiz de 4 ) / 2.1

x = ( 6 +- 2 ) / 2

x' = ( 6 + 2 ) / 2 = 8 / 2 = 4

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

3X² - 18X + 15 = 0

delta = b² - 4.a.c

delta = (-18)² - 4.3.15

delta = 324 - 180

delta = 144

x = ( - b +- raiz de delta ) / 2.a

x = ( - (-18) +- raiz de 144 ) / 2.3

x = ( 18 +- 12 ) / 6

x' = ( 18 + 12 ) / 6 = 30 / 6 = 5

x" = ( 18 - 12 ) / 6 = 6 / 6 = 1

X² - 10 + 25 = 0

delta = b² - 4.a.c

delta = (-10)² - 4.1.25

delta = 100 - 100

delta = 0

x = ( - b +- raiz de delta ) / 2.a

x = ( - (-10) +- raiz de 0 ) / 2.1

x = ( 10 +- 0 ) / 2

x = 10 / 2

x = 5

3X² - 2X + 1 = 0

delta = b² - 4.a.c

delta = (-2)² - 4.3.1

delta = 4 - 12

delta = - 8

x = ( - b +- raiz de delta ) / 2.a

x = ( - (-2) +- raiz de - 8 ) / 2.3

x = ( 2 +- raiz de - 8 ) / 6

3X² - 2X + 5 = 0

delta = b² - 4.a.c

delta = (-2)² - 4.3.5

delta = 4 - 60

delta = - 56

x = ( - b +- raiz de delta ) / 2.a

x = ( - (-2) +- raiz de - 56 ) / 2.3

x = ( 2 +- raiz de - 56 ) / 6