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Sagot :
The value of the discriminant is 49
The equation has two solutions.
The solutions are real solutions
Discriminant of a Quadratic equation
From the question, we are to determine the discriminant of the given quadratic equation.
The given quadratic equation is
6x² - x -2 = 0
The discriminant, D, of a quadratic equation, ax² + bx + c, is given by the formula,
D = b²- 4ac
In the given equation,
6x² - x -2 = 0
a = 6, b = -1, and c = -2
Thus,
D = (-1)²- 4(6)(-2)
D = 1 + 48
D = 49
Hence, the value of the discriminant is 49.
The equation has two solutions.
Since, the discriminant is a positive number, the solutions are real solutions
Learn more on Discriminant here: https://brainly.com/question/18967071
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