Question

Solve for x:(2x/(x-5)2+(2x/(x-5))-24=0,x is not equal to 0

Answer 1

Step-by-step explanation:

Let 2x(x−5) be y

∴y2+5y−24=0

Now factorise,

y2+8y−3y−24=0

y(y+8)−3(y+8)=0

(y+8)(y−3)=0

y=3,−8

Putting y=3

2xx−5=3

2x = 3x - 15

x = 15

Putting y = -8

2xx−5=−8

2x = -8x + 40

10x = 40

x = 4

Hence, x is 15 , 4