What is the discriminant of the quadratic equation minus, x, squared, minus, 9, x, minus, 8, equals, 0−x 2 −9x−8=0?
Question
What is the discriminant of the quadratic equation minus, x, squared, minus, 9, x, minus, 8, equals, 0−x 2 −9x−8=0?
Solution
The discriminant of a quadratic equation is given by the formula D = b² - 4ac, where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.
In the given equation -x² - 9x - 8 = 0, the coefficients are: a = -1 b = -9 c = -8
Substituting these values into the formula, we get:
D = (-9)² - 4*(-1)*(-8) D = 81 - 32 D = 49
So, the discriminant of the given quadratic equation is 49.
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