Question

quais são as raízes da equação x-2/3x + 2x-1/2=5x+2/6​

Answer 1

Resposta:

x - 2 2x-1 5x + 2

------- + --------- = ------------

3x 2 6

12(x-2) 18x(2x-1) 6x(5x+2)

----------- + --------------- = ----------------

36x 36x 36x

12x - 24 + 36x² - 18x = 30x² + 12x

36x² + 12x - 18x - 24 = 30x² + 12x

36x² - 6x - 24 = 30x² + 12x

36x² - 30x² - 6x - 12x - 24 = 0

6x² - 18x - 24 = 0

x = -(-18)+-√(-18)² - 4(6)(-24) / 2(6)

x = 18 +-√324 + 576 / 12

x = 18 +- √900 / 12

x = 18 +- 30 / 12

X' = 18 + 30 / 12 = 48/12 = 4

x'' = 18 - 30 / 12 = -12/12 = -1

s = { 4 , -1 }