FORMULA COPIED TO CLIPBOARD! 📋

Quadratic Formula 📐

x =
-b ± √b² - 4ac 2a
Standard Form: ax² + bx + c = 0

Variable Guide

x
The Variable

The unknown value(s) we are trying to solve for.

a
Quadratic Coeff

The number attached to x². It determines the parabola's width.

b
Linear Coeff

The number attached to x. It shifts the parabola's center.

c
Constant Term

The plain number at the end. It's the y-intercept of the graph.

±
Plus/Minus

Tells you to solve twice: once with + and once with -.

Δ
Discriminant

The value inside the root. It predicts the nature of roots.

√
Radical Symbol

Represents the square root operation in the formula.

2a
Denominator

The bottom part. Double the value of 'a' to divide the top.

= 0
The Balance

The equation must equal zero before you can pick your a, b, and c values.

Legacy of the Equation 📜

Σ

2000 BC | BABYLON

Ancient Babylonians were the first to solve quadratic problems. They used them to calculate the area of land, though they didn't have modern algebraic symbols.

800 AD | THE ALGEBRA

Muhammad ibn Musa al-Khwarizmi, the "Father of Algebra," provided the first systematic solutions. His book gave us the word "Algebra" itself!

1594 AD | MODERN ERA

Simon Stevin and René Descartes helped refine the formula into the symbol-based version we use today, making complex physics and engineering possible.

"Did you know? Quadratic equations describe the path of a thrown ball, the shape of a satellite dish, and even the orbits of planets!"