Equations Quadratic in Form

In this section, we will learn how to solve non-quadratic equations that are quadratic in form. In some cases, we will encounter a non-quadratic equation that can be rewritten as a quadratic equation via substitution. When this occurs, we have a simplified equation that contains three terms. Two terms will have the same variable involved where the higher power is double that of the smaller. The third term will be a constant. We can create a quadratic equation by making a simple substitution. Choose any variable and set it equal to the variable raised to the smaller power. We can then rewrite our equation with this new variable as a quadratic equation. Once this is done, we can use our quadratic formula to obtain a solution. When we obtain the solution, we have to substitute once more. We will then find the answer in terms of our original variable.