If the discriminant of a quadratic equation is equal to zero, how many real solutions does the equation have?
A. 0
B. 1
C. 2
D. 3
please help!!
recall that the two solutions are
x = -b/2a ±√(discriminant)
if discriminant is zero, then both roots are the same: -b/2a
To determine the number of real solutions of a quadratic equation, you need to consider the discriminant of the equation.
The discriminant of a quadratic equation in the form ax^2 + bx + c = 0 is given by the formula: Δ = b^2 - 4ac.
If the discriminant is equal to zero (Δ = 0), it means that the equation has exactly one real root or solution.
So, the answer is B) 1.