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The Quadratic Formula - An Introduction

Check out Bas Rutten's Liver Shot on MMA Surge: Learn about the quadratic formula with Allison Moffett, host of the Mahalo Math Channel. Ms. Moffett uses her years of experience in the mathematics field to introduce the formula in an understandable manner. She explains what the formula is used for and what the terms related to it mean. For more math tutorials, visit the YouTube channel. The quadratic formula is a way of solving quadratic equations. Quadratic equations are those which contain an x-squared term.? The quadratic equation, when placed on a graph, is a parabola and the solution to the quadratic formula defines where the parabola crosses the axis. In order to use the quadratic formula, the condition of having the quadratic equation in the correct form must first be satisfied. ?Once the equation is in the correct format, the coefficients and the constants can be determined and used in the quadratic formula to determine a solution. The Correct Quadratic Equation Form --------------------------------------------------------------------- The structure of the?quadratic?equation is critical when using the quadratic formula. In order to find the correct information to put in the quadratic formula, the quadratic equation must be in the correct format. The equation must be structured as a squared term plus an x term plus a constant. This structure must be equal to zero. The following is an example of a quadratic equation: x^2 + x + 2 = 0 Aligning the terms correctly in preparation of using the quadratic formula is called satisfying the conditions.? Coefficients and Constant --------------------------------------------------------------------- In the quadratic equation ax^2 +bx + c = 0, the "a" and "b" are called coefficients. ?The "c" in the equation is a constant. ?When using the quadratic formula to solve the equation, the coefficients and constants are used. It is important to determine the correct coefficients and constant in order to find a correct solution to the equation. Whether a coefficient or constant is positive or negative is determined by the sign of the portion of the equation it falls in. If the squared term is negative (-ax^2), the coefficient "a" is a negative number.?Similarly, if the x term and the constant are subtracted (-bx-c), then coefficient "b" and constant "c" are negative. When a quadratic equation contains a squared term or an x term with no coefficient shown, the coefficient is either -1 or +1, depending on the sign of the term. The Quadratic Formula Format --------------------------------------------------------------------- The quadratic formula format is ? x = -b±√-(b^2-4ac) ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 2a To use the formula, the coefficients and constant are plugged in and calculations are made to solve for X.? ?The quadratic formula is actually two formulas in one.? Since the sign preceding the square root is a?"±" symbol, the formula must be calculated twice, once using the plus and once using the minus. Read more by visiting our page at:
Length: 02:23


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