What is the discriminant of the quadratic equation x, squared, minus, 9, x, minus, 3, equals, 0x 2 −9x−3=0?
Question
What is the discriminant of the quadratic equation x, squared, minus, 9, x, minus, 3, equals, 0x 2 −9x−3=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 - 9x - 3 = 0, a = 1, b = -9, and c = -3.
Substituting these values into the formula, we get:
D = (-9)² - 41(-3) D = 81 - (-12) D = 81 + 12 D = 93
So, the discriminant of the given quadratic equation is 93.
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