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

 Apr 25, 2024
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                                        5x^2 - 2x + 8 - 2x^2 + 6x + 2 - 2x^2 + 4x - 1   

 

can be regarded as        (5x2 – 2x2 – 2x2) + (–2x + 6x + 4x) + (8 + 2 – 1)   

 

combine like terms            x2 + 8x + 9   

 

discriminant is                   82 – (4)(1)(9)  =  64 – 36  =  28   

 

The discriminant is the expression under the radical   

in the quadratic formula.   

 

When a quadratic is stated in the form ax2 + bx + c  

the discriminant is b2 – 4ac.  

.

 Apr 25, 2024

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