rearranging a third power polynomial line equation solving for x 

I need to rearrange this equation to solve for x to substitute a single y value into the equation.

y = -50.414x^3 + 4411.1x^2 - 24697x + 16917

  • The function doesn't have an inverse. You can plot it on wolframalpha.com to see this.

  • Yes, you may not solve for x, unless you restrict x to some interval where the function has an inverse.