Question

2x/x-4 + 2x-5/x-3 = 25/3​

Answer 1

Answer: x = 6, 40/13

Step-by-step explanation:

2x(x-3) +(2x-5)(x-4) / (x-4) (x-3) =25/3

3(4x2 -19x +20) = 25(x2-7x +12)

12x2 - 57 x +60 = 25x2 - 175x + 300

13x2 - 118 x + 240 =0

now by splitting the middle term,

13x2 -(78+40) x +240 =0

13x2 -78 x -40x +240 =0

13x ( x - 6) - 40 (x-6) =0

(x-6) (13x -40)

x = 6 and x = 40/13