Linear & Quadratic Functions Solving Algebraically  

                   Lesson 1

                                                                                                                       

                                                    Problem:   Solve the Linear Quadratic Equation:

y = x2 5x + 7

y = x 1

          

                                                    Solution    Solve linear equation for y: y = x - 1

                                                    Step 1:                      

                                      

                                                    Solution    Substitute the value of y in quadratic equation:       

                                                    Step 2:                                                                             

                                                                                 

                                                    Solution    x 1 = x - 5x + 7; -1-7 = x - 5x - x;            

                                                    Step 3:    

 

                                                    Solution    -8 = x - 5x; x - 5x + 8 = 0; (x-4) (x-2) = 0    

                                                    Step 4:    

 

                                                    Solution    (x - 2) = 0; x = 2 (x - 4) = 0; x = 4

                                                    Step 5:    

 

Solution    Answer: x = 2,4

                                                    Step 6:                                                           

                                                    Complete                                                                                                                         

                                                   

Try two practice problems:  

 

                                                                       Do the following:                                                                                          

y = x2 7x 45

y = 1

A.

Equate linear & quadratic equation and find the value of y

B.

Find the solution set.

© Math Worksheets World.com