The Quadratic Formula

Making the Boring Beautiful

The Formula

The quadratic formula is universally used to find the roots of a second-degree polynomial equation:

Roots
The roots are the values of that satisfy the equation .

Curiosity: The "Bhaskara" Name

🇧🇷 🇮🇳 Brazilian Uniqueness 🪇 🥻

  • In Brazil, this formula is widely known as "Bhaskara's Formula", named after the 12th-century Indian mathematician Bhaskara II.

  • Interestingly, this naming convention is unique to Brazil; in the rest of the world, it's simply the "Quadratic Formula".

Visualizing Roots

The roots are the points where the parabola crosses the x-axis.

For :

  • Roots are at and .

Example Calculation

Solve :

Result
and

Conclusion

Even the most standard mathematical formulas can be presented with style.

  • Contrast: High readability
  • Imagery: Connecting math to reality
  • Flow: Breaking monotony with visual rests

Appendix: Graph Generation Code

import matplotlib.pyplot as plt
import numpy as np

# Data
x = np.linspace(0, 4, 400)
y = x**2 - 4*x + 3

# Plot
plt.plot(x, y)
plt.scatter([1, 3], [0, 0]) # Roots

# Save
plt.savefig('images/parabola_plot.png')