Question

Solve the equation below.

Answer 1

Answer:

Option C is correct.

Step-by-step explanation:

We need to solve the equation below and find value of x

$\frac{x+4}{6x} =\frac{1}{x}$

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.

Answer 2

Answer:

B. x=0,2

Step-by-step explanation:

(x+4)      1

-------- = -----

6x          x

Using cross products

x * (x+4) = 1*6x

Distribute

x^2 +4x = 6x

Subtract 6x from each side

x^2 +4x-6x = 6x-6x

x^2 -2x = 0

Factor out an x

x (x-2) = 0

Using the zero product property

x=0  x-2 =0

x=0  x-2+2 =0+2

x =0   x=2