To determine the number of real solutions for the given equation -5x^2 - 3x + 2 = 8, we can use the discriminant.
The discriminant can be calculated using the formula: Δ = b^2 - 4ac, where a, b, and c are the coefficients of the equation.
For the given equation:
a = -5
b = -3
c = 2 - 8 = -6
Using the values of a, b, and c, we can calculate the discriminant:
Δ = (-3)^2 - 4(-5)(-6)
= 9 - 120
= -111
Since the discriminant (-111) is negative, there are no real solutions to the equation -5x^2 - 3x + 2 = 8.
use the discriminate to determain the number of real solutions to each solution
-5x^2-3x+2=8
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