找到你今天要练的题。

\( \frac{x+1}{5x^2}=\frac{k}{x} \) 
In the given equation, \( k \) is a constant. The solution to the given equation is \( \frac{1}{224} \). What is the value of \( k \) ?

\( \frac{1}{x}+\frac{1}{x-7}=\frac{2}{x^2-7x} \) 
What are all the solutions to the given equation?

\( \frac{x+1}{5x^{2}}=\frac{k}{x} \) 
In the given equation, k is a constant. The solution to the given equation is 1/174. What is the value of k?

\( \frac{x+1}{5x^2}=\frac{k}{x} \) 
In the given equation, k is a constant. The solution to the given equation is \( \frac{1}{174} \) . What is the value of k?

\( \frac{\left(x-3\right)\left(x-6\right)}{x-2}=0 \) 
What is the sum of the solutions to the given equation?

\( \frac{27\left(k+6\right)}{3\left(k+6\right)} \) 
The given expression is equivalent to c, where c is a constant and \( k>−6 \) . What is the value of c?

\( \frac{1}{5xy}+xyz=\frac{1}{4yz} \) 
In the given equation, x, y, and z are positive numbers. Which expression is equivalent to y?

The function g is defined as\( g\left(x\right)=\frac{2x-8}{\left(x+13\right)\left(x-6\right)} \) . If \( g(a+7)=0, \) where a is a constant, what is the value of a?

\( \frac{1}{R}=\frac{1}{p}+\frac{1}{q}+\frac{1}{s}+\frac{1}{32} \) 
A parallel electric circuit contains four resistors with resistances of p ohms, q ohms, s ohms, and 32 ohms. The given equation relates the resistance R, in ohms, of the circuit, to the resistances of the four individual resistors it contains. Which equation correctly expresses R in terms of p, q, and s?

\( \frac{1}{x}+\frac{1}{x-9}=\frac{10}{x^2-9x} \) 
What are all the solutions to the given equation?

If \( \frac{48}{x}=6x \), what is the value of \( 6x^2 \)?

\( \frac{25x}{x^2-25}=\frac{x}{x-5}+\frac{20}{x+5} \) 
What is the positive solution to the given equation?