What is the discriminant of the quadratic equation minus, x, squared, plus, 3, x, plus, 4, equals, 0−x 2 +3x+4=0?
Question
What is the discriminant of the quadratic equation minus, x, squared, plus, 3, x, plus, 4, equals, 0−x 2 +3x+4=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 + 3x + 4 = 0, the coefficients are: a = -1 (the coefficient of x²) b = 3 (the coefficient of x) c = 4 (the constant term)
Substituting these values into the discriminant formula gives:
D = b² - 4ac D = (3)² - 4*(-1)*4 D = 9 - (-16) D = 9 + 16 D = 25
So, the discriminant of the equation -x² + 3x + 4 = 0 is 25.
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