Question

Resolva a equação do 2° grau:
3/×-4=x+6/2x​

Answer 1

Resposta:

3. x + 6

--------- = ------------

x - 4. 2x

2x(3). (x+6)(x-4)

----------- = ---------------

2x(x-4). 2x(x-4)

6x = x² -4x + 6x - 24

x² - 4x + 6x - 6x - 24 = 0

x² -4x - 24 = 0

x = -b ± √ b² - 4 a b

-------------------------

2 a

x = -(-4)±√(-4)²-4(1)(-24)

----------------------------------

2• 1

x = 4 ± √16 + 96

---------------------

2

x = 4 ± √112

----------------

2

x = 2 ± √112