Wetzel                                                                                    

Math 102

10.3 – Equations that are Quadratic in Form

U-Substitution:   Converting a Non-Quadratic Equation into a Quadratic Equation.

            Steps: 

                        1.)  Write the equation in standard form set equal to 0.

                        2.)  Set the variable in the middle term equal to.

                        3.)  Find .  This should be the leading term’s variable for the substitution method to work.

                        4.)  Substitute  and  into the equation making it a quadratic equation.

                        5.) Solve the equation for .

                        6.)  Substitute the original variable back in for  and solve.

Examples:

1.)               2.)                          3.) 

4.)