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Determine the discriminant and then state how many solutions there are and the nature of the solutions. Do not solve. 6x^(2)-x-2=0

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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