In the realm where numbers intertwine,
Lies a tale of curves and lines.
The quadratic whispers secrets deep,
In its roots, the answers sleep.

Parabolas soar with graceful might,
Their vertex shining in the night.
Coefficients guide their flight,
Through the dark and into light.

Discriminants decide their fate,
Two solutions or just one mate.
Sometimes none, a lonely state,
In complex dreams, they navigate.

Oh, equations of the second degree,
Your elegance is plain to see.
In algebra, your beauty reigns,
Quadratic, our hearts you gain.