Answer:
Option C is correct.
Step-by-step explanation:
We need to solve the equation below and find value of x
[tex]\frac{x+4}{6x} =\frac{1}{x}[/tex]
Cross multiply
x(x+4)=6x
x^2+4x=6x
x^2+4x-6x=0
x^2-2x=0
Taking x common
x(x-2)=0
x=0 and x-2 =0
x=0 and x= 2
Verify solutions
putting x=0
x+4/6(0) = 1/0
the solution is undefined.
Putting x = -2
2+4/6(2) = 1/2
2+4/12 = 1/2
6/12=1/2
1/2=1/2
the solution is defined.
The solutions is x=2 as for x=0 the solution is undefined.
So, Option C is correct.
