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What is the discriminant of the quadratic equation minus, 8, x, squared, minus, 5, x, minus, 3, equals, 0−8x 2 −5x−3=0?

Question

What is the discriminant of the quadratic equation minus, 8, x, squared, minus, 5, x, minus, 3, equals, 0−8x 2 −5x−3=0?

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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 -8x² -5x -3 = 0, the coefficients are: a = -8 b = -5 c = -3

Substituting these values into the formula, we get:

D = (-5)² - 4*(-8)*(-3) D = 25 - 96 D = -71

So, the discriminant of the given quadratic equation is -71.

This problem has been solved

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