Question

QUESTÃO - 08: Agora, resolva essas equações: a) 5x2-10x=0 b) 3x2 -7x= x(2x-4) c) 9x2 = 54x d) (x-5)( x-6) = 30 e) x(x+2) = 2x+ 25​

Answer 1

Explicação passo-a-passo:

a) 5x²-10x=0

5x² - 10x = 0

x(5x - 10) = 0

x' = 0

5x - 10 = 0

5x = 0 + 10

5x = 10

x'' = 10/5

x'' = 2

b) 3x² -7x= x(2x-4)

3x² -7x= 2x²- 4x

3x² - 7x = 2x² - 4x

3x² - 2x² - 7x + 4x = 0

x² - 3x = 0

a) x² - 3x = 0

x(x - 3) = 0

x' = 0

x - 3 = 0

x = 0 + 3

x = 3

c) 9x² = 54x

9x² - 54x = 0

x(9x - 54) = 0

x' = 0

9x - 54 = 0

9x = 0 + 54

9x = 54

x'' = 54/9

x'' = 6

d) (x-5)( x-6) = 30

x² - 6x - 5x + 30 = 30

a) 9x² - 11x = 0

x(9x - 11) = 0

x' = 0

9x - 11 = 0

9x = 0 + 11

9x = 11

x'' = 11/9

e) x(x+2) = 2x+ 25

x(x + 2) = 2x + 25

x² + 2x = 2x + 25

x² + 2x - 2x - 25 = 0

x² - 25 = 0

x² - 25 = 0

x² = 0 + 25

x² = 25

x² = 25/1

x² = 25

x = V25

x' = 5

x'' = -5