In the realm of numbers, where mysteries reside,
A quadratic equation, with secrets to confide.
Its parabolic path, a graceful curve in time,
Unveils hidden roots, in symmetry sublime.

From vertex high, to intercepts below,
It sketches its story, in a geometric flow.
The a, b, c, constants, guiding its fate,
A dance of algebra, intricate and great.

Discriminant whispers, the nature of its roots,
Real or imaginary, in mathematical pursuits.
Completing the square, or factoring the form,
Each method a journey, through the quadratic storm.

Oh, quadratic equation, with your elegant grace,
In every solution, a reflection of space.
Your parabolic whispers, in the language of math,
Guide seekers of truth, along your intricate path.