Question

x-1/x-2+x-3/x-4=10/3​

Answer 1

Answer:

5

Step-by-step explanation:

1/(x-2)+1/(x-4)=4/3

after this we find x=5

Answer 2

Step-by-step explanation:

$\frac{x - 1}{x - 2} + \frac{x - 3}{x - 4} = \frac{10}{3} \\ \\ \frac{x - 1}{x - 2} = \frac{10}{3} - \frac{x - 3}{x - 4} \\ \\ \frac{x - 1}{x - 2} = \frac{10x - 40 - 3x + 9}{3(x - 4)} \\ \\ \frac{x - 1}{x - 2} = \frac{7x - 31}{3(x - 4)} \\ \\ 3( {x}^{2} - 5x + 4) = 7 {x}^{2} - 45x + 62 \\ \\ - 4 {x}^{2} + 30x - 50 = 0 \\ \\ 2 {x }^{2} - 15x + 25 = 0 \\ \\ 2 {x}^{2} - 10x - 5x + 25 = 0 \\ \\ 2x(x - 5) - 5(x - 5) = 0 \\ \\ (2x - 5)(x - 5) = 0 \\ \\ x = \frac{5}{2} \: \: and \: \: x = 5$