Oh! The Quadratic Formula?

In the land of algebra, where equations reside,

Lies a formula, a mathematician’s guide.

For quadratics that curve in a parabolic flight,

The quadratic formula brings answers to light.

When $ax^2 + bx + c$ equals zero,

This formula steps in, like a hero:

$x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

A beacon of hope, come what may.

First, find $a$ , $b$ , and $c$ in your quest,

Coefficients and constants, put to the test.

Plug them into this magical scheme,

And watch as solutions appear like a dream.

The discriminant, $b^2 - 4ac$ ,

Reveals the nature of roots, you see.

If positive, two real roots will appear,

If zero, one root, perfectly clear.

But if negative, complex roots arise,

Imaginary numbers, a mathematician’s prize.

With $i$ in the mix, the roots will unfold,

A story of numbers, both brave and bold.

So remember this formula, keep it near,

For solving quadratics, it’s crystal clear.

In the realm of math, it’s a shining star,

Guiding you to solutions, no matter how far.

Published by Clark Vangilder