Question

Quiais são as raízes da equação 2/3x + 2/x-1 = -5/3

Answer 1

Oi Thanatizelle

2/(3x) + 2/(x - 1) + 5/3 = 0

2/(3x) + 6/(3*(x - 1) + 5/3

2/x + 6/(x - 1) + 5 = 0 

2 + 6x/(x - 1) + 5x = 0

2*(x - 1) + 6x + 5x*(x - 1) = 0 

2x - 2 + 6x + 5x² - 5x = 0

5x² + 3x - 2 = 0

delta
d² = 9 + 40 = 49
d = 7

x1 = (-3 + 7)/10 = 4/10 = 2/5
x2 = (-3 - 7)/10 = -10/10 = -1

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