What is the discriminant of the quadratic equation minus, x, squared, plus, 4, x, plus, 7, equals, 0−x 2 +4x+7=0?
Question
What is the discriminant of the quadratic equation minus, x, squared, plus, 4, x, plus, 7, equals, 0−x 2 +4x+7=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 + 4x + 7 = 0, the coefficients are: a = -1 (the coefficient of x²) b = 4 (the coefficient of x) c = 7 (the constant term)
Substituting these values into the discriminant formula gives:
D = b² - 4ac D = (4)² - 4*(-1)*7 D = 16 + 28 D = 44
So, the discriminant of the equation -x² + 4x + 7 = 0 is 44.
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