Question

Pls solve this it's urgent and give fully explanation please and give right answer ​

Answer 1

Answer:

x = 5 or x = 5/2

Step-by-step explanation:

Q. (x -1)/(x - 2) + (x - 3)/(x - 4) = 3⅓

=> [(x - 1)(x - 4) + (x - 3)(x - 2)] ÷ (x - 2)(x - 4) = 10/3

=> (x² - 4x - x + 4 + x² - 2x - 3x + 6) ÷ x² - 4x - 2x + 8 = 10/3

=> 3(2x² - 10x + 10) = 10(x² - 6x + 8)

=> 6(x² - 5x + 5x) = 10(x² - 6x + 8)

=> (x² - 5x + 5x) = 10 (x² - 6x + 8) ÷ 6

=> 3x² - 15x + 15 = 5x² - 30x + 40

=> 3x² - 5x² - 15x + 30x + 15 - 40 = 0

=> -2x² + 15x - 25 = 0

=> - (2x² - 15 + 25) = 0

=> 2x² - 10x - 5x + 25 = -0

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

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

=> x - 5 = 0 or 2x - 5 = 0

=> x = 5 or x = 5/2