What is the discriminant of the quadratic equation x, squared, plus, 5, x, minus, 9, equals, 0x 2 +5x−9=0?Answer
Question
What is the discriminant of the quadratic equation x, squared, plus, 5, x, minus, 9, equals, 0x 2 +5x−9=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 + 5x - 9 = 0, a = 1, b = 5, and c = -9.
Substituting these values into the formula, we get:
D = (5)² - 4*(1)*(-9) D = 25 + 36 D = 61
So, the discriminant of the given quadratic equation is 61.
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