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

Answer:

a. 0

b. x = 1.25

Step-by-step explanation:

The given equation is:

$\frac{4}{x}=\frac{1}{4x}+3$

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:

$\frac{4}{x}=\frac{1}{4x}+3\\\frac{4x}{x}=\frac{x}{4x}+3x\\ 3x=4-\frac{1}{4}\\x=\frac{16-1}{4*3} \\ x=1.25$

The solution is x = 1.25