Welcome to Bytelearn!

Let’s check out your problem:

Kendall tried to find all the equations of vertical lines tangent to the curve given by $x^{2}+2 x y^{2}=25$. This is her solution:$\newline$Step $1$: Finding an expression for $\frac{d y}{d x}$.$\newline$$$\frac{d y}{d x}=\frac{-x-y^{2}}{2 x y}$$$\newline$Step $2$: Forming a system of equations.$\newline$$$\left\{\begin{array}{l} x^{2}+2 x y^{2}=25 \\ 2 x y=0 \\ -x-y^{2} \neq 0 \end{array}\right.$$$\newline$Step $3$: Solving the system.$\newline$$x=-5, x=0$, and $x=5$$\newline$Is Kendall's solution correct? If not, at which step did she make a mistake?$\newline$Choose $1$ answer:$\newline$(A) The solution is correct.$\newline$(B) Step $1$ is incorrect.$\newline$(C) Step $2$ is incorrect.$\newline$(D) Step $3$ is incorrect.