Algebra

 

Find the discriminant of the quadratic 5x^2 - 2x + 8 - 2x^2 + 6x + 2 - 2x^2 + 4x - 1.    

 

When the quadratric is in the form ax² + bx + c the discriminant is b² – 4ac     

 

Rearranging terms so it's easier to see    5x² – 2x² – 2x² – 2x + 6x + 4x + 8 + 2 – 1     

 

                                                                   x² + 8x + 9    

 

                                                                    b² – 4ac  =  8² – (4)(1)(9)     

 

                                                                                    =  64 – 36    

 

                                                                                D  =  28    

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