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The Doodle, titled Learning the Quadratic Equation, was first introduced in September in the US and the UK.
A quadratic equation is a second-degree polynomial. (Photo Credits: doodles.google)
Google marked Wednesday, November 12, with a special Doodle dedicated to the quadratic equation, which is one of mathematics’ most widely recognised and applied formulas. The animated Doodle transforms this classic classroom concept into an engaging and interactive visual.
The Doodle, titled Learning the Quadratic Equation, was first introduced in September in the US and the UK. It has now reached India and several other regions.
When Mathematics Met Google
The animated Doodle transforms the Google logo into smooth parabolic curves that visually represent how quadratic equations behave. The second “g” and the “e” in the Google logo kick the second “o,” designed as a basketball, back and forth. Around the logo, handwritten notes and equations like y = ax² + bx + c, y = 0 => ax² + bx + c = 0, x = (-b ± √(b² – 4ac)) / 2a and b² = 4ac > 0.
What Is A Quadratic Equation?
A quadratic equation is a second-degree polynomial in a single variable with a standard form ax² + bx + c = 0, where a, b and c are constants and a is not equal to zero. It is used to find the values of x, called roots or solutions, that satisfy the equation.
These roots can be found using different methods such as factoring, completing the square or applying the quadratic formula: x = (-b ± √(b² – 4ac)) / 2a. The number of solutions (real or complex) depends on the discriminant.
In Physics And Engineering
Quadratic equations play a vital role in explaining motion and shape in the physical world. They are used in projectile motion to predict the paths of objects thrown or launched. With it, the maximum height, horizontal distance and landing spot can be calculated. Some examples include a basketball, a rocket or a stream of water.
Engineers use them in designing bridges, arches and other curved structures. They also appear in vehicle testing and braking systems to model deceleration and stopping distance. In areas like fluid dynamics, the same principles help calculate the movement of boats against water currents or determine flow speeds.
In Finance And Business
Beyond science, quadratic equations are useful in understanding profit and pricing. When a change in a product’s price affects the quantity sold, a quadratic equation can help determine the optimal price point that maximises profit or revenue.
In Architecture And Design
In the world of design, quadratic equations are applied to calculate dimensions, shapes and areas. Architects often use them to plan curved elements in buildings, parks and interiors. Product designers rely on the same principles to shape items like car parts, furniture or audio devices.
In Other Fields
Quadratic equations also appear in subjects such as geometry and chemistry. They help solve distance problems using the Pythagorean theorem, such as calculating the distance between two moving cars. They can also describe certain chemical reactions.
Why Google Featured It
Google’s latest Doodle on the quadratic equation arrives right in sync with the academic season. During October and November, many schools and universities around the world introduce or revise this topic, which often leads to a rise in online searches about how to solve it.
Clicking on the Doodle takes users to a dedicated search page filled with explanations, historical insights and examples of how quadratic equations are used in real life.
A team of writers at News18.com bring you stories on what’s creating the buzz on the Internet while exploring science, cricket, tech, gender, Bollywood, and culture.
A team of writers at News18.com bring you stories on what’s creating the buzz on the Internet while exploring science, cricket, tech, gender, Bollywood, and culture.
Delhi, India, India
November 12, 2025, 08:57 IST
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