Question

Resolva no conjunto lR,as seguintes equações

a) x²-2x=2x-4

b)x²-2x = x +4

c) 6x²+3x =1+2x

d)9x²+3x+1=4x²​

Answer 1

Explicação passo-a-passo:

a) x²-2x=2x-4

x² - 4x + 4 = 0

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

D = -4² - 4 . 1 . 4

D = 16 - 16

D = 0

x' = -(-4) + 0

2 .1

x' = 4 + 0

2

x' = 4

2

x' = 2

x" = -(-4) - 0

2 .1

x" = 4 - 0

2

x'' = 4

2

x'' = 2

b)x²-2x = x +4

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

c) 6x²+3x =1+2x

6x² + x - 1 = 0

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

D = 1² - 4 . 6 . (-1)

D = 1 + 24

D = 25

x' = -1 + 5

2 .6

x' = -1 + 5

12

x' = 4

12

x' = 1/3

x" = -1 - 5

2 .6

x" = -1 - 5

12

x'' = -6

12

x'' = -1/2

d)9x²+3x+1=4x²

5x² + 3x + 1 = 0

a= 5; b = 3; c = 1

D = 3² - 4 . 5 . 1

D = 9 - 20

D = -11