What is the discriminant of the quadratic equation minus, x, squared, minus, x, plus, 5, equals, 0−x 2 −x+5=0?Answer
Question
What is the discriminant of the quadratic equation minus, x, squared, minus, x, plus, 5, equals, 0−x 2 −x+5=0?Answer
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 - x + 5 = 0, the coefficients are: a = -1 (the coefficient of x²) b = -1 (the coefficient of x) c = 5 (the constant term)
Substituting these values into the discriminant formula gives:
D = (-1)² - 4*(-1)*5 D = 1 - (-20) D = 1 + 20 D = 21
So, the discriminant of the quadratic equation -x² - x + 5 = 0 is 21.
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