Complex Numbers, solving quadratic equations & comp the SQ

The solutions are x = -2 and x = 3.

The solutions are x = 3/2 and x = -3/2.

C = (b/2)^2.

i = √(-1).

i^2 = -1.

The standard form is ax^2 + bx + c = 0.

The discriminant (b^2 - 4ac) indicates the nature of the roots: if positive, two real roots; if zero, one real root; if negative, two complex roots.

A complex number is expressed in standard form as a + bi, where a is the real part and b is the imaginary part.

The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a).

The vertex form is y = a(x - h)^2 + k, where (h, k) is the vertex.