Question

find the discriminant.
3q² + 3 = 0
what type of solutions does the equation have?
one real solution
two real solutions
two complex (non - real) solutions

Explanation:

Step1: Recall discriminant formula

For quadratic equation \(ax^2 + bx + c = 0\), discriminant \(D = b^2 - 4ac\).
In \(3q^2 + 3 = 0\), \(a = 3\), \(b = 0\), \(c = 3\).

Step2: Calculate discriminant

Substitute values: \(D = 0^2 - 4\times3\times3 = 0 - 36 = -36\).

Step3: Determine solution type

Since \(D < 0\), quadratic has two complex (non - real) solutions.

Answer:

The discriminant is \(-36\), and the equation has two complex (non - real) solutions.