Question

Determine a solução das equações fracionárias: a)3/4+1/x=11/12 b) (5x-2)/(9-x^2 )+3/(3+x)=1/(3-x)

Answer 1

a) $\frac{3}{4} + \frac{1}{x} = \frac{11}{12}$

$\frac{9}{12} + \frac{1}{x} = \frac{11}{12}$

$\frac{1}{x} = \frac{2}{12}$

x = 6

b) $\frac{(5x-2)}{(9-x^2 )}+ \frac{3}{(3+x)}=\frac{1}{(3-x)}$

$\frac{(5x-2)}{(9-x^2 )} = \frac{3+x}{(9-x^2)} - \frac{9-3x}{(9-x^2)}$

$\frac{(5x-2)}{(9-x^2 )} = \frac{-6+4x}{(9-x^2)}$

5x - 2 = -6 + 4x

x = -4