How to solve an equation which is in quadratic form

The title of this post is probably a bit confusing specially the quadratic form part of it.

What exactly is an equation of quadratic form anyways? First you need to have a polynomial and your polynomial needs a degree to be >= 2.

For example:

Now how can we solve this equation? We have to use U substitution to get the equation in a form that we can factor.

  • Find the U in the equation and define it
  • Replace x values in the equation with the u
  • Factor the equation
  • Solve for U
  • Replace U back into the equation
  • Solve for X
  • Check with the original equation