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Formula Explainers

Break down complex mathematical and scientific formulas into understandable concepts. Learn not just how to use them, but why they work.

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Featured14 min readIntermediate

The Quadratic Formula: Why It Works and When to Use It

x = (-b ± √(b²-4ac)) / 2a

Demystify the most famous formula in algebra. Learn the derivation, understand each component, and see real-world applications.

Learn This Formula
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FinanceBeginner

Compound Interest Formula: The Mathematics of Wealth Building

A = P(1 + r/n)^(nt)

Understand how compound interest creates exponential growth and why Einstein called it the eighth wonder of the world.

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PhysicsBeginner

F = ma: Understanding Force, Mass, and Acceleration

F = ma

Explore Newton's second law through everyday examples, from car crashes to rocket launches.

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MathematicsBeginner

Pythagorean Theorem: More Than Just Right Triangles

a² + b² = c²

Discover the surprising applications of a²+b²=c² in GPS technology, computer graphics, and architecture.

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ChemistryIntermediate

The Ideal Gas Law: PV = nRT Explained Simply

PV = nRT

Master the relationship between pressure, volume, and temperature with practical examples from weather to cooking.

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StatisticsAdvanced

The Bell Curve: Understanding Normal Distribution

f(x) = (1/σ√2π)e^(-½((x-μ)/σ)²)

Why does everything from test scores to heights follow this pattern? Explore the mathematics behind nature's most common curve.

Essential Formula Quick Reference

Area of Circle

A = πr²

Where r is the radius

Distance Formula

d = √[(x₂-x₁)² + (y₂-y₁)²]

Distance between two points

Slope Formula

m = (y₂-y₁)/(x₂-x₁)

Slope of a line

Simple Interest

I = PRT

Principal × Rate × Time

Speed Formula

v = d/t

Velocity = Distance/Time

Percentage Change

% = (New-Old)/Old × 100

Percentage increase/decrease

The Formula Learning Method

Our proven 5-step approach to mastering any formula

1️⃣

Understand

What does each variable represent?

2️⃣

Derive

Learn where the formula comes from

3️⃣

Practice

Work through simple examples

4️⃣

Apply

Use in real-world scenarios

5️⃣

Master

Solve complex problems confidently