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.

`(y)/(k)=x^2`

Solving the above equation, we get

`\begin{gathered} x=\pm\sqrt[]{(y)/(k)} \\ x=\sqrt[]{(y)/(k)}\text{ or x=-}\sqrt[]{(y)/(k)} \end{gathered}`

Therefore, the solution of the given equation is,

`x=\sqrt[]{(y)/(k)},\text{ x=-}\sqrt[]{(y)/(k)}`