Question

For the following​ equation:

4/x = (1/4x)+3

a. Write the value or values of the variable that make a denominator zero. These are the restrictions on the variable.
b. Keeping the restrictions in​ mind, solve the equation.

Answer 1

a. 0

b. x = 1.25

Explanation:

The given equation is:

`(4)/(x)=(1)/(4x)+3`

a. The denominators are x and 4x. The values that make a denominator zero are:

`x=0\\4x=0\\x=0`

b. Solving the equation:

`(4)/(x)=(1)/(4x)+3\\(4x)/(x)=(x)/(4x)+3x\\ 3x=4-(1)/(4)\\x=(16-1)/(4*3) \\ x=1.25`

The solution is x = 1.25