Question

решите уравнение
$\frac{x}{x + 4} = \frac{3}{x - 1}$
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Answer 1

Ответ:

x/x+4=3/x-1

x/x+4=3/x-1, x≠-4 , x≠1

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

x*(x - 1) - 3(x + 4) = 0

x²- x - 3x - 12 = 0

x² - 4x - 12 = 0

x² + 2x - 6x - 12 = 0

x*(x + 2) - 6(x + 2) = 0

(x + 2)(x - 6) = 0

x + 2 = 0

x - 6 = 0

x = - 2

x = 6 , x≠-4 , x≠1

x = - 2

x = 6

x1=-2, x2=6