What is the discriminant of the quadratic equation minus, x, squared, minus, 3, x, minus, 5, equals, 0−x 2 −3x−5=0?
Question
What is the discriminant of the quadratic equation minus, x, squared, minus, 3, x, minus, 5, equals, 0−x 2 −3x−5=0?
Solution
The discriminant of a quadratic equation is given by the formula b² - 4ac, where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.
In the given equation -x² - 3x - 5 = 0, the coefficients are:
a = -1 (the coefficient of x²)
b = -3 (the coefficient of x)
c = -5 (the constant term)
Substituting these values into the formula for the discriminant gives:
Discriminant = (-3)² - 4*(-1)*(-5) = 9 - 20 = -11
So, the discriminant of the equation -x² - 3x - 5 = 0 is -11.
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