Question

escreva as equações na forma reduzida​

Answer 1

a) (x+3)² = 1

x² + 2 . x . 3 + 3² = 1

x² + 6x + 9 = 1

x² + 6x + 9 - 1

x² + 6x + 8

a = 1

b = 6

c = 8

b) (x-5)² = 4

x² - 2 . x . 5 + 5² = 4

x² - 10x + 25 = 4

x² - 10x + 25 - 4

x² - 10x + 21

a = 1

b = - 10

c = 21

c) (3x+1)² = 0

3x² + 2 . 3x . 1 + 1² = 0

9x² + 6x + 1 = 0

a = 9

b = 6

c = 1

d) (2x-4)² = 0

2x² - 2 . 2x . 4 + 4² = 0

4x² - 16x + 16 = 0

a = 4

b = - 16

c = 16

e) (x-3)² = -2x²

x² - 2 . x . 3 + 3² = - 2x²

x² - 6x + 9 = -2x²

x² + 2x² - 6x + 9

3x² - 6x + 9 = 0

a = 3

b = - 6

c = 9

f) x (x-5) = - 6

x² - 5x = - 6

x² - 5x + 6 = 0

a = 1

b = - 5

c = 6

g) x (3x+4) = - 1

3x² + 4x = - 1

3x² + 4x + 1 = 0

a = 3

b = 4

c = 1

h) x (2x-x) = 5x - 6

2x² - x² = 5x - 6

2x² - x² - 5x + 6

x² - 5x + 6 = 0

a = 1

b = - 5

c = 6

i) (x+5) (x-5) = 0

x² - 5x + 5x - 25

x² - 25 = 0

a = 1

b = 0

c = - 25

j) (x+3) (x-3) = 0

x² - 3x + 3x - 9

x² - 9 = 0

a = 1

b = 0

c = - 9