Quadratic equation In elementary algebra‚ a quadratic equation (from the Latin quadratus for "square") is any equation having the form where x represents an unknown‚ and a‚ b‚ and c represent known numbers such that a is not equal to 0. If a = 0‚ then the equation is linear‚ not quadratic. The numbers a‚ b‚ and c are the coefficients of the equation‚ and may be distinguished by calling them‚ the quadratic coefficient‚ the linear coefficient and the constant or free
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Introduction The aim of this investigation is to identify the nature of the roots of quadratics and cubic functions. Part One Case One For Case One‚ the discriminant of the quadratic will always be equal to zero. This will result in the parabola cutting the axis once‚ or twice in the same place‚ creating a distinct root or two of the same root. For PROOF 1‚ the equation y=a(x-b)2 is used. PROOF 1 y = 3 (x – 2)2 = y = 3 (x2 – 4x + 4) = y = 3x2 – 12x + 12 ^ = b2 – 4ac = (-12)2 – 4 x 3 x
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When you are graphing quadratics‚ it is the same as graphing linear equations but‚ quadratics have the curvy line‚ called a parabola. When you are graphing your points‚ it is best to graph three or more points. You are really going to need to point three or more points‚ because if there are less than three you will not have a correct graph‚ graphing more than three will insure that your graph will be correct. The biggest number that they say you have to graph will most likely not be able to be graphed
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_________________ Teacher: _______________ Reviewer: Quadratic Equations I. Multiple Choice: Choose the letter of the correct answer. Show your solution. 1. What are the values of x that satisfy the equation 3 – 27x2 = 0? A. x = [pic]3 B. x = [pic] C. x = [pic] D. x = [pic] 2. What are the solutions of the equation 6x2 + 9x – 15 = 0? A. 1‚ - 15 B. 1‚ [pic] C. – 1‚ - 5 D. 3‚ [pic] 3. For which equation is – 3 NOT a solution? A. x2 – 2x – 15 = 0 C
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Quadratic functions are used all the time‚ every day‚ all over the world. Even though right now‚ it doesn’t seem like this kind of math is ever going to creep back into our life. That is actually far from true. These math skill are crucial to have if one ever decides to do anything in engineering‚ or something like that. Those types of jobs are now becoming more and more popular‚ because the world is always going to need educated people who know how to construct or refurbish buildings and homes.
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Jaquavia Jacques Ms. Cordell 1st period December 9‚ 2014 Quadratics is used to help to determine what is on a graph. There are many formulas that are used to put points on a graph to create parabolas. Parabolas are “U” shaped figures on a graph. Parabolas are examples of quadratics on a graph. Parabolas can be positioned up or down‚ which means if the arrows are going up it has a minimum point‚ and if the arrows are going down that means it has a maximum point. When graphing using the vertex formula:
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order to find the vertex of the quadratic equation‚ begin by using the proper formula - b / 2(a) to find it. In the equation there is an (a) (b) (c) which is needed for the vertex equation. First look at the equation and determine what are the values of the three variable. In this case (a)= 2‚ (b)= 8‚ (c)= 5. Now plug them in properly into the vertex equation. * Notice in the vertex equation there is a negative sign!!! DO NOT FORGET! When plugged into the equation‚ it should state -8 / 2(2). Now
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Earliest Methods used to solve Quadratic Equation 1. Babylonian mathematics (also known as Assyro-Babylonian mathematics) was any mathematics developed or practiced by the people of Mesopotamia‚ from the days of the early Sumerians to the fall of Babylon in 539 BC. Babylonian mathematical texts are plentiful and well edited.[7] In respect of time they fall in two distinct groups: one from the Old Babylonian period (1830-1531 BC)‚ the other mainly Seleucid from the last three or four centuries BC
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QUADRATIC FUNCTIONS (WORD PROBLEMS) 1. The area of a rectangle is 560 square inches. The length is 3 more than twice the width. Find the length and the width. Representation: Let L be the length and let W be the width. The length is 3 more than twice the width‚ so The area is 560‚ so Equation: Plug in and solve for W: Solution: Use the Quadratic Formula: Since the width can’t be negative‚ I get . The length is 2. The hypotenuse of a right triangle is 4 times the smallest side. The third
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Real World Quadratic Functions Read the following instructions in order to complete this assignment: 1. Solve problem 56 on pages 666-667 of Elementary and Intermediate Algebra. 2. Write a two to three page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example and be concise in your reasoning. In the body of your essay‚ please make sure to include: o An explanation of the basic shape and location of the graph and what
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