Question
6s=-9s^2-1
How many real solutions does the equation have
no real solutions
one real solution
two real solutions
How many real solutions does the equation have
no real solutions
one real solution
two real solutions
Answers
GPT 3.5
The given equation is a quadratic equation in the form of -9s^2 - 6s - 1 = 0. To find the number of real solutions for this equation, we can use the discriminant formula.
The discriminant is b^2 - 4ac, where a = -9, b = -6, and c = -1. Substituting these values into the formula, we get:
Discriminant = (-6)^2 - 4*(-9)*(-1)
Discriminant = 36 - 36
Discriminant = 0
Since the discriminant is equal to 0, the equation has one real solution.
The discriminant is b^2 - 4ac, where a = -9, b = -6, and c = -1. Substituting these values into the formula, we get:
Discriminant = (-6)^2 - 4*(-9)*(-1)
Discriminant = 36 - 36
Discriminant = 0
Since the discriminant is equal to 0, the equation has one real solution.