Question

3x- 19 /x-5 = x-3 /3​

Answer 1

Answer:

x1= 2-√42/2; x2= 2+√42/2

Step-by-step explanation:

Answer 2

solution:-

=> 3x- 19 /x-5 = x-3 /3

=> 3 (3x-19) = (x-5) (x-3)

=> 9x + 57 = x² - 3x -5x + 15

=> 9x + 57 = x² - 8x + 15

=> x² - 8x -9x + 15 + 57 = 0

=> x² - 17x + 72 = 0

=> x² - 8x - 9x + 72 = 0

=> x ( x - 8 ) - 9 ( x - 8 ) = 0

=> ( x -9 ) ( x - 8 )

=> x - 9 = 0 or x - 8 = 0

=> x = 9 or x = 8

i hope it helps you.