Question

resolva a equacao fracionaria
x+3 sobre x-1 =x+1 sobre 3 x≠1

Answer 1

Resposta:

V = {-2  5}

Explicação passo-a-passo:

x + 3 = x + 1

x - 1        3

m.m.c ⇒ 3(x - 1)

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

3x + 9 = x² - 1

x² - 3x - 10 = 0

(x - 5)(x + 2) = 0

x - 5 = 0 ⇒ x' = 5

x + 2 = 0 ⇒ x'' = -2

Answer 2

Resposta:

S={-2,5}

Explicação passo-a-passo:

$\frac{x+3}{x-1}=\frac{x+1}{3}\\\\3(x+3)=(x-1)(x+1)\\\\3x+9=x^2-1\\\\x^2-3x-10=0\\\\\Delta=(-3)^2-4(1)(-10)\\\Delta=9+40\\\Delta=49\\\\x=\frac{3\pm7}{2}\\x'=5\\x''=-2$