To determine the number of real solutions for the equation -x^2-2x-7=-6, we can use the discriminant.
The discriminant (denoted as ∆) is given by the formula: ∆ = b^2 - 4ac, where a, b, and c are the coefficients of the equation in the form ax^2 + bx + c = 0.
Comparing the given equation to the standard form, we have a = -1, b = -2, and c = -1.
Substituting these values into the discriminant formula:
∆ = (-2)^2 - 4(-1)(-1)
∆ = 4 - 4
∆ = 0
Since the discriminant (∆) is equal to 0, it means that there is only one real solution for the equation.
use the discriminate to determain the number of real solutions to each solution
-x^2-2x-7=-6
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