#Equation

An equation of a circle describes all the points in a plane that are the same distance from a fixed point. That fixed point is called the center, and the constant distance is the radius. When the center is written as (a, b), the standard form of the equation becomes (x − a)² + (y − b)² = r². Here, r represents the radius of the circle. This formula comes directly from the distance formula: every point (x, y) on the circle is exactly r units away from the center (a, b). If the center is at the origin, meaning a = 0 and b = 0, the equation simplifies to x² + y² = r². Another way to write the equation of a circle is in general form: x² + y² + Dx + Ey + F = 0. In this form, the center and radius are not immediately visible. However, by completing the square for the x and y terms, the equation can be rewritten into the standard form (x − a)² + (y − b)² = r². This process reveals the values of a and b for the center, as well as the radius. Understanding both forms helps connect algebraic manipulation with geometric meaning, showing how the idea of distance shapes the structure of the equation. Like this video and follow @mathswithmuza for more! #math #circle #equation #foryou #calculus

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Einstein explaining "E=mc²" He didn’t just write an equation… he changed how we understand reality itself. Albert Einstein introduced E=mc², a simple formula that revealed something extraordinary — mass and energy are not separate… they are the same thing, just in different forms. That means everything you see, everything you touch… even you… is condensed energy. A single idea that reshaped physics, unlocked the secrets of the universe, and led to discoveries we’re still exploring today. And the craziest part? This was just one piece of a much bigger picture… one that we still don’t fully understand. 🌌 👉Follow @worldofastronomers to understand the mysteries of universe. #einstein #relativity #equation #physics #formula

Voici une façon rapide de débloquer ce type d’équation : 5^{x+3} = 7^{x+3} Même exposant des deux côtés 👉 on compare directement les bases. 5 ≠ 7, donc la seule possibilité pour que l’égalité soit vraie, c’est que l’exposant soit nul. Donc : x + 3 = 0 x = -3 Pas de calcul compliqué. Juste une idée clé à connaître. Commentez TURBO et je vous envoie mes meilleures techniques de calcul 🔥 #maths #equation #lycee #calculmental #astucesmaths

Linear equations 🌸🌸 #mathias777 #equation #linearequation #explore