Answer:
a. 0
b. x = 1.25
Step-by-step explanation:
The given equation is:
[tex]\frac{4}{x}=\frac{1}{4x}+3[/tex]
a. The denominators are x and 4x. The values that make a denominator zero are:
[tex]x=0\\4x=0\\x=0[/tex]
b. Solving the equation:
[tex]\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[/tex]
The solution is x = 1.25
