What is the discriminant of the quadratic equation minus, x, squared, plus, 6, x, minus, 6, equals, 0−x 2 +6x−6=0?Answer
Question
What is the discriminant of the quadratic equation
?
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 + 6x - 6 = 0, the coefficients are: a = -1 b = 6 c = -6
Substituting these values into the formula, we get:
D = (6)² - 4*(-1)*(-6) D = 36 - 24 D = 12
So, the discriminant of the given quadratic equation is 12.
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