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2025-09-18 10:54:48

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$Derivation of Quadratic Formula 🛠️ The Derivation Process The process starts with the general form of the quadratic equation, ax^2 + bx + c = 0, where a, b, and c are constants. Normalization: First, the entire equation is divided by a (assuming a is not zero) to make the coefficient of the x^2 term equal to 1. Isolation: The constant term, c/a, is moved to the right side of the equation, leaving only the x terms on the left. Completing the Square: This is the core step. A specific value is added to both sides of the equation to make the expression on the left side a perfect square trinomial. This value is (b/2a)^2, which is half the coefficient of the x term, squared. Factoring and Simplification: The left side is now factored into a squared binomial of the form (x+b/2a)^2. The right side is simplified by finding a common denominator, which allows the two fractions to be combined into a single fraction. Taking the Square Root: The square root is taken of both sides of the equation. This requires introducing the ± sign on the right side to account for two possible solutions (positive and negative roots). Final Isolation: The term b/2a is moved from the left side to the right side, isolating x. Since both terms on the right side share a common denominator, they are combined into a single expression. This final expression for x represents the two solutions to any quadratic equation, which is the quadratic formula. #math #fyp #mathematics #mathedit #xyzabc #LearnOnTikTok #learning #mathtok #fypシ゚ #quadratic$
Derivation of Quadratic Formula 🛠️ The Derivation Process The process starts with the general form of the quadratic equation, ax^2 + bx + c = 0, where a, b, and c are constants. Normalization: First, the entire equation is divided by a (assuming a is not zero) to make the coefficient of the x^2 term equal to 1. Isolation: The constant term, c/a, is moved to the right side of the equation, leaving only the x terms on the left. Completing the Square: This is the core step. A specific value is added to both sides of the equation to make the expression on the left side a perfect square trinomial. This value is (b/2a)^2, which is half the coefficient of the x term, squared. Factoring and Simplification: The left side is now factored into a squared binomial of the form (x+b/2a)^2. The right side is simplified by finding a common denominator, which allows the two fractions to be combined into a single fraction. Taking the Square Root: The square root is taken of both sides of the equation. This requires introducing the ± sign on the right side to account for two possible solutions (positive and negative roots). Final Isolation: The term b/2a is moved from the left side to the right side, isolating x. Since both terms on the right side share a common denominator, they are combined into a single expression. This final expression for x represents the two solutions to any quadratic equation, which is the quadratic formula. #math #fyp #mathematics #mathedit #xyzabc #LearnOnTikTok #learning #mathtok #fypシ゚ #quadratic

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Cuộn xốp dán tường Vân vải có sẵn trong giỏ hàng nhé mọi người ! Kt 2,8*0,5m ạ #trihoidecor #giaydantuong #xopdantuong

Cuộn xốp dán tường Vân vải có sẵn trong giỏ hàng nhé mọi người ! Kt 2,8*0,5m ạ #trihoidecor #giaydantuong #xopdantuong

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