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

 Oct 12, 2024
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Find the discriminant of the quadratic 5x^2 - 2x + 8 - 2x^2 + 6x + 2 - 2x^2 + 4x - 1.    

 

First, collect and combine like terms   

and arrange them as ax2 + bx + c           (5x2 – 2x2 – 2x2) + (–2x + 6x + 4x) + (+8 + 2 – 1)    

 

                                                                 x2 + 8x + 9    

 

The discriminant is b2 – 4ac                     D  =  82 – (4)(1)(9)    

 

                                                                 D  =  64 – 36    

 

                                                                 D  =  28    

.   

 Oct 12, 2024

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