The value of the discriminant is 49
The equation has two solutions.
The solutions are real solutions
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
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