Find the discriminant of the quadratic 5x^2 - 2x + 8 - 2x^2 + 6x + 2.
5x^2 - 2x + 8 - 2x^2 + 6x + 2
Combining Like Terms,
3x^2 + 4x + 10, so
a = 3, b = 4, and c = 10
The formula for the discrimant is b^2 - 4ac
Plugging in the values,
4^2 - 4(3)(10) = 16 - 120 = -104
This means that the quadratic has no real roots.
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