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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?

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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.

This problem has been solved

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