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

 Jul 3, 2024
 #1
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First, let's note something important, 

The descriminant of the quadratic is \(b^2-4ac\) for any quadratic in the form of \(ax^2+bx+c\)

 

Now, combining like terms and reaaranging terms, we get

\(3x^{2}+4x+10\)

 

Thus, plugging in the numbers for the descriminant, we get

\(4^2-4(10)(3)\\ 16-120\\ -104\)

 

So -104 is our answer. 

 

Thanks! :)

 Jul 3, 2024

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