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Equations
DEFINITION: a statement that the values of two mathematical expressions are equal (indicated by the sign =). HOW TO: 5 + 2 = 7 4 + 3 = 5 + 2 Both equal 7 so this is called an equation. Everyday Use: Equations are used when determining if two things are equal.
Quadratic Formula-1
Quadratic Equations and Inequalities Definition: The "Standard Form" of a Quadratic Equation is: ax2 + bx + c = 0 x represents an unknown, and “a”, “b”, and “c” represent known numbers such that “a” is not equal to 0. A Quadratic Inequality is just like a quadratic equation, except instead of an equal sign there's an inequality. ax2 + bx + c < 0 Everyday Use: Figuring Out a Profit Finding a Speed Calculating Areas of a Structure How to Solve Quadratic Equations: You are able to solve Quadratic equations in these ways: By Factoring And Quadratic Formula Factoring: x2 + 5x + 6 x2 + 5x + 6 = (x+2)(x+3) Now set the factors equal to 0. (x+2)(x+3) = 0 Solve each factor. x + 2 = 0 or x + 3 = 0 ? x = –2 or x = – 3 So x = -3, -2 Quadratic Formula: The Quadratic Formula is: x = -b ±√b² - 4ac 2a