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Quadratic Equations

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		Quadratic Equations: Quadratic Formula ^Votes:0 Quadratic Equations: Quadratic Formula The Quadratic Formula. The quadratic equation has the solutions Consider the general quadratic equation with . First divide both sides of the equation by a to get which leads to Next complete the square by adding to both sides Finally we take the square root of both sides: or We call this result the Quadratic Formula and normally write it Remark. The plus-minus sign states that you have two numbers and . Example: Use the Quadratic Formula to solve Solution. We have a =2, b = -3, and . By the quadratic formula, the solutions are Please go to General Conclusion to find a summary of all the cases regarding the roots of a quadratic equation. [Algebra] [Complex Variables] [Geometry] [Trigonometry ] [Calculus] [Differential Equations] [Matrix Algebra] S.O.S Read More Go to Site


		Math Forum - Ask Dr. Math ^Votes:0 Associated Topics \|\| Dr. Math Home \|\| Search Dr. Math Quadratic Equation Date: 7/10/96 at 18:20:45 From: Anonymous Subject: "Quadratic" Equation Why is a quadratic equation... quadratic? My math tutor asked me to find out and I have no idea where to start looking! Date: 7/11/96 at 8:58:56 From: Doctor Paul Subject: Re: "Quadratic" Equation Good question! Quadratic equations are very important in math. A quadratic equation is one with form as follows: ax^2 + bx + c pronounced: A X squared plus B X + C An example of a quadratic equation would be: x^2 +2x + 1 In this particular case (and this case only!) a=1, b=2, and c=1 The fun comes when you set quadratic equations equal to zero and try to solve for values of x that satisfy the equation. There is a very famous formula that should help yo Read More Go to Site

		Quadratic Equation ^Votes:0 ACTIVITY #4 Quadratic Equation (-b+or-(b 2 -4ac) 1/2 )/2a A Quadratic Equation is of degree 2, and, in general, has two answers, or roots, or two elements in the solution set. The standard form of the quadratic equation is: ax 2 + bx + c = 0. To Solve a quadratic equation by using the quadrat ic formula: Quadratic Formula Match the given equation against the standard form to identify the values for ax 2 +bx+c=0 a, b, and c. Substitute the values for a, b, and c into the quadratic formula. (-b+or-(b 2 -4ac) 1/2 )/2a Evaluate the results to obtain two values for x. Check the original equation. Solve and choose the correct answer for each problem. Factor using the quadratic formula: x 2 -3x=10 x = -5 or x = 2 x = 3 + 7/2 or 3 - 7/2 x = -3 + 7/2 or -3 - 7/2 x = 5 or x = -2 Factor using the qua Read More Go to Site

		Quadratic Equation -- from Wolfram MathWorld ^Votes:0 Search Site Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index Interactive Entries Random Entry New in MathWorld MathWorld Classroom About MathWorld Contribute an Entry --> Send a Message to the Team Order book from Amazon 12,720 entries Tue Oct 23 2007 Algebra > Algebraic Equations Recreational Mathematics > Mathematics in the Arts > Mathematics in Music Quadratic Equation A quadratic equation is a second-order polynomial equation in a single variable (1) with . Because it is a second-order polynomial equation , the fundamental theorem of algebra guarantees that it has two solutions. These solutions may be bo Read More Go to Site

		Question Corner -- Solving a Quadratic with Non-Constant Coefficients ^Votes:0 Navigation Panel: (These buttons explained below ) Question Corner and Discussion Area Solving a Quadratic with Non-Constant Coefficients Asked by Alex Pintilie, teacher, Bayview Glen School on April 25, 1997 : I put in a test the following question. Prove that the following equation has no roots: . (I had in mind a graphical solution.) A student gave me the following solution: . has to be to have solutions. sin x cannot be >1, so the equation has no solutions. He is "sort of right" but I am "afraid" of allowing students to solve for x with respect to x . What do you think? Your student's answer is perfectly correct, except that there's a step missing: the discriminant of the quadratic is , which is 4(sin x - 2) rather than just sin x - 2. However, the extra factor of 4 does not affect Read More Go to Site

		SciMedia USA Ltd. ^Votes:0 Navigation What's New? Nov. 16, 2007 New reference paper with MiCAM ULTIMA Miragoli M, Salvarani N, Rohr S.: "Myofibroblasts induce ectopic activity in cardiac tissue." Nov. 13, 2007 Thank you very much for visiting the SciMedia booth at the Neuroscience 2007 in San Diego, CA. Oct. 31, 2007 Please visit us at the upcoming Neuroscience 2007, Nov 3-7, in San Diego, CA, booth #4328. The standard in high speed cameras optimizing high speed, high resolution, and high signal to noise ratios. Sep. 25, 2007 Software Update: Acquisition software for MiCAM ULTIMA (Ver.0709). Aug. 31, 2007 New sample data of cardiac imaging: "Ventricular Fibrillation in Guinea Pig Heart (MiCAM ULTIMA-L)" Aug. 28, 2007 Washington University in St.Louis was added to the MiCAM ULTIMA user list. Aug. 27, 2007 Software Up Read More Go to Site

		SofAR: 1996 - 2001: 1996 (2): Letters ^Votes:0 AJR 2007 Email 2005 - 2006 2004 2003 2002 1996 - 2001 2001 2000 1999 1998 (1) 1998 (2) 1997 1996 (1) 1996 (2) Letters Ans. Bee Series 2 Series 3 1=2? Wine Figure SofAR Services This one should fill a few gaps ... What do these letters have in common? and why is g doubly significant? Answers to John Rowland Read More Go to Site

		Solving Quadratic Equations ^Votes:0 SOLVING QUADRATIC EQUATIONS This program solves Quadratic Equations. Enter the coefficients in appropiate boxes and click Solve. It will show the results in boxes Root1 and Root2. Enter the Coefficient of X² here Enter the Coefficient of X here Enter the Constant here Results: Root1 Or Root2 Or Your Visitor Number is Send your comments to: selvakum@tech.iupui.edu K.Selvakumar Center for Advanced Manufacturing Studies Purdue School of Engg Indianapolis IN-46202 Hi Everybody! This quadratic equations page have been referenced in many places. If you could keyin the reference that will be a great help to me. Thanks for your time K.Selvakumar Reference... My HomePage \| Stop Clock \| Word Game \| Calender CGI Free is a great service, all for free, where you may download CGI scripts, or use them on Read More Go to Site

		Subtleties in Solving a Quadratic Equation ^Votes:0 Next: Complete Example Programs Up: Advanced Numerical Experiments Previous: Interval Arithmetic Subtleties in Solving a Quadratic Equation Solving a quadratic equation at first glance seems to be a trivial calculation using the quadratic formula, However, a closer look reveals a number of numerical subtleties that, if overlooked, could lead to grossly inaccurate approximations to the roots. To see one of the problems associated with the numerical aspects of the quadratic formula, work through the following exercise. Exercise 3.4 Solve the quadratic equation, x 2 - 12.4x + 0.494 = 0 by evaluating the quadratic formula using three-digit decimal arithmetic and unbiased rounding. The exact roots rounded to 6 digits are 0.0399675 and 12.3600. The above exercise illustrates an important numeric Read More Go to Site

		Two Ancient Solutions to Quadratic Equations ^Votes:0 Two Ancient Solutions to Quadratic Equations The Greeks, Hindus and Arabs had quite an influence on early algebra. The Greeks took a geometric approach to solving problems. The Hindu style was more verbal, or rhetorical, with some symbolism. The Arabs conquered Egypt, acquiring many Greek works from the Alexandrian library. They also conquered part of India. Here they came in contact with the Hindus and their mathematics. The Arabs translated the Greek and Hindu works, and Hindu numerals entered Arabia. Hence, Arabic algebra was a mix of Greek and Hindu algebra. They used a geometric approach like the Greeks and a more numerical approach like the Hindus. Solutions to certain quadratic equations were found by the Greeks and Hindus. As you might expect, the Greek solution was more geometric Read More Go to Site

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