Question

Find the root of equation
1/2x-3 +1/x-5=1 ,x not = 3/2,5​

Answer 1

Answer:

x=8+3root2/3 or x=8-3root2/3

Step-by-step explanation:

1/2x-3+1/x-5=1

3x-8/2x^2-13x+15=1

2x^2-13x+15=3x-8

2x^2-16x+23=0

a=2, b=-16,c=23

b^2-4ac=(-16)^2-(4×2×23)

=256-184

=72

x= -b +- root( b^2-4ac)/2a

x=-(-16) +- 6root2/6

x=16+-6root2/6

x=8+-root /3