use the discriminate to determain the number of real solutions to each solution

-6x^2-x-12=-6

1 answer

We have the quadratic equation: -6x^2 - x - 12 = -6

Rearranging the equation, we get: -6x^2 - x - 12 + 6 = 0

Simplifying, we have: -6x^2 - x - 6 = 0

Now we can determine the discriminant, which is given by the formula: D = b^2 - 4ac

In our equation, a = -6, b = -1, and c = -6.

Substituting the values into the discriminant formula: D = (-1)^2 - 4(-6)(-6)

Simplifying further: D = 1 - 144

D = -143

Since the discriminant (-143) is negative, it means that there are no real solutions to this equation.