What is the discriminant of the quadratic equation x, squared, minus, 5, x, minus, 7, equals, 0x 2 −5x−7=0?
Question
What is the discriminant of the quadratic equation x, squared, minus, 5, x, minus, 7, equals, 0x 2 −5x−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 - 5x - 7 = 0, a = 1, b = -5, and c = -7.
Substituting these values into the formula, we get:
D = (-5)² - 41(-7) D = 25 + 28 D = 53
So, the discriminant of the equation x² - 5x - 7 = 0 is 53.
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