Question

Solve the equation y=kx^2 for the variable x. Assume that all other letters represent positive constants. If there is more than one correct answer, enter your answers as a comma separated list. x=________

Answer 1

The given equation is,

$y=kx^2$

To solve for x, first divide both sides of the equation by k.

$\frac{y}{k}=x^2$

Solving the above equation, we get

$\begin{gathered} x=\pm\sqrt[]{\frac{y}{k}} \\ x=\sqrt[]{\frac{y}{k}}\text{ or x=-}\sqrt[]{\frac{y}{k}} \end{gathered}$

Therefore, the solution of the given equation is,

$x=\sqrt[]{\frac{y}{k}},\text{ x=-}\sqrt[]{\frac{y}{k}}$