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Topic: Quadratic equation


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In the News (Thu 31 Dec 09)

  
  Quadratic Equation Worksheets
Quadratic Formula - Solve Quadratic Equations (Discriminants which are perfect positive squares)
Graphs of Quadratic Equations - State the direction of opening for the graph
Graphs of Quadratic Equations - Find the vertex and axis of symmetry (Has Fractions)
www.edhelper.com /QuadraticEquations.htm   (210 words)

  
  101 uses of a quadratic equation: Part II   (Site not responding. Last check: )
Quadratic equations are necessary for an understanding of acceleration.
However, this quadratic equation is accurate enough to predict the behaviour of the flow of air over the wing of an aircraft and to see why an aircraft flies.
The fundamental equation of quantum theory which is used to calculate the "wave number" of a quantity (the probability of it being in a particular location) is Schrödinger’s equation.
plus.maths.org /issue30/features/quadratic/index-gifd.html   (4303 words)

  
  Quadratic equation Summary   (Site not responding. Last check: )
The theory involving quadratic equations, and all polynomial equations, was flawed prior to the 17th century because of this idea.
In mathematics, a quadratic equation is a polynomial equation of the second degree.
This equation may be resolved directly or with a simple substitution, using the methods that are available for the quadratic, such as factoring (also called factorising), the quadratic formula, or completing the square.
www.bookrags.com /Quadratic_equation   (3488 words)

  
 Quadratic Equation - Search Results - MSN Encarta   (Site not responding. Last check: )
Quadratic Equation, a mathematical equation in which the second power (the square) of an unknown quantity appears (but no higher power).
Given any quadratic equation of the general form a number of approaches are possible depending on the specific nature of the equation in question....
Any quadratic equation of the form can be solved using the quadratic formula.
uk.encarta.msn.com /Quadratic_Equation.html   (135 words)

  
 GRAPHS OF QUADRATIC EQUATIONS
Every quadratic equation has at most two solutions, but for some equations, the two solutions are the same number, and for others, there is no solution on the number line (because it would involve the square root of a negative number, which makes it imaginary).
When you set the quadratic equation equal to zero, this represents the points where the parabola hits the x-axis (the x-intercepts, where y=0).
Where the parabola hits on the x-axis is the solution(s) to the quadratic equation.
www.tcnj.edu /~martin28/graphs_of_quadratic_equations.htm   (122 words)

  
 Algebra Help - Quadratic Equations
So this means we are talking about an equation that is a constant times the variable squared plus a constant times the variable plus a constant equals zero, where the coefficient a on the variable squared can't be zero, because if it were then it would be a linear equation.
is the standard form for a quadratic equation, and for future reference, here the letter a will always mean the coefficient on the square of the variable, and b will be the coefficient on the variable, and c will be the constant term.
Quadratic equations are harder to solve than linear equations, because once you have them in standard form it is hard to simplify them any further, and in this form there are still two occurrences of the variable, so it's hard to see what we can do to get the variable alone.
www.helpalgebra.com /articles/quadraticequations.htm   (3044 words)

  
 Quadratic equations - A complete course in algebra
A QUADRATIC is a polynomial whose highest exponent is 2.
Therefore, −4 and 2 are the roots of that quadratic.
A quadratic will have a double root if the quadratic is a perfect square trinomial.
www.themathpage.com /alg/quadratic-equations.htm   (333 words)

  
 [No title]   (Site not responding. Last check: )
There are two roots (answers) to a quadratic equation, because of the in the equation.
Midrash is like a quadratic equation or a very complex second order differential equation, a thirteen or fourteen step equation.
Shridhara was said to be one of the first mathematicians to give a general rule for solving a quadratic equation.
www.lycos.com /info/quadratic-equation.html?page=2   (345 words)

  
 BioMath: Quadratic Functions
You can solve quadratic equations by completing the square, using the quadratic formula, or, in rare cases, by factoring.
In most cases, solving quadratic equations is most easily accomplished using the quadratic formula.
In some cases, using the quadratic formula is not necessary to solve a quadratic equation.
www.biology.arizona.edu /BioMath/tutorials/Quadratic/SolvingQuadraticEquations.html   (468 words)

  
 Working with Quadratic Equations on the Graphing Calculator
Since this equation is NOT set equal to zero, the ZERO command cannot be used to look for roots(unless you re-write the equation so that it IS set equal to zero).
If you are given the visual graph of a quadratic equation and you are given (or can identify) at least 3 points, you can use the Quadratic Regression process to create the equation of the graph.
Write the equation of the parabola shown at the right, given that the points (0,2), (-1,9) and (3,5) are on the graph.
mathbits.com /MathBits/TISection/Algebra2/quadraticequations.htm   (448 words)

  
 College Algebra Tutorial on Equations that are Quadratic in Form
Recall that an extraneous solution is one that is a solution to an equation after doing something like raising both sides of an equation by an even power, but is not a solution to the original problem.
Even though not all of the quadratic in form equations can cause extraneous solutions, it is better to be safe than sorry and just check them all.
Note how the original equation has the exact same expression in the two ()'s and that the first () is squared and the 2nd () is to the one power.
www.wtamu.edu /academic/anns/mps/math/mathlab/col_algebra/col_alg_tut20_quadform.htm   (1230 words)

  
 Math Help - Algebra - Quadratics - Theory - Graphs
There are three important cases of quadratics depending on where the graph crosses the x-axis (these points are called roots or zeros of the equation).
In general, there are two big things we want to do with a quadratic equation: solve it for all possible values of x, or graph the equation.
There are three main methods of solving quadratics: Guessing the solutions (also known as the double parentheses method), completing the square, and using the quadratic formula.
www.hyper-ad.com /tutoring/math/algebra/Quadratic_theory.html   (1403 words)

  
 Quadratics: Polynomials of the second degree - Topics in precalculus
Construct the quadratic whose roots are 2 and 3.
Construct the quadratic whose roots are 2 + 3i, 2 − 3i, where i is the complex unit.
Construct the quadratic whose roots are −3, 4.
www.themathpage.com /aPreCalc/quadratic-equation.htm   (696 words)

  
 Mr. G's Quadratic Equations
When solving a quadratic equation by factoring we start by putting "everything on one side of the equation and zero on the other".
When you have an equation to solve such as 3x+5=0 the solution can be found by putting the constant term over the variable's coefficient and using the opposite sign that's between them.
Solving a quadratic equation by completing the square is based on factoring and the square root property.
www.gpc.edu /~jgutliph/Books/ia/quadratic_eqs_ineqs/quadratic_equations.htm   (537 words)

  
 The roots of a Quadratic Equation
For b = -2, the parabola is tangent to the x-axis and so the original equation has one real and positive root at the point of tangency.
Remember the roots (sometimes also called "zeros") of a quadratic equation, f(x) =0, are the values of x for which the equation is satisfied.
Note that this is the quadratic formula and this formula is used to find the roots of a quadratic equation.
jwilson.coe.uga.edu /EMAT6680/Brown/assign3/RootQuad.htm   (420 words)

  
 Quadratic Functions(General Form)
Quadratic functions and the properties of their graphs such as vertex and x and y intercepts are explored interactively using an applet.
The y intercept of the graph of a quadratic function is given by f(0) = c.
Once you have found the equation of the graph you can check your answer by clicking on the second button "show/hide" that will display coefficients a, b and c on the left side of the plotting panel.
www.analyzemath.com /quadraticg/quadraticg.htm   (1426 words)

  
 BioMath: Quadratic Functions
Completing the square is a method that can be used to transform a quadratic equation in standard form to vertex form.
Once in vertex form, a quadratic equation is easy to graph or solve.
Any quadratic function that is not in vertex form can be put in vertex form by completing the square.
www.biology.arizona.edu /biomath/tutorials/Quadratic/CompletingtheSquare.html   (572 words)

  
 quadratic equation
In mathematics, a polynomial equation of second degree (that is, an equation containing as its highest power the square of a variable, such as x
In coordinate geometry, a quadratic function represents a parabola.
Some quadratic equations can be solved by factorization (see factor (algebra)), or the values of x can be found by using the formula for the general solution
www.tiscali.co.uk /reference/encyclopaedia/hutchinson/m0006724.html   (284 words)

  
 Algebra II: Quadratic Equations - Math for Morons Like Us
Many times you will come across quadratic equations that are not easy to factor or solve.
In those cases, there is a special formula called the quadratic formula that you can use to solve any quadratic equation.
To solve equations such as that, you make a substitution, solve for the new variable, and then solve for the original variable.
library.thinkquest.org /20991/alg2/quad.html   (500 words)

  
 Quadratic equation
Solving Quadratics by Factoring and Graphing - Solve the quadratic equations in questions 1 — 5 by factoring.
Quadratic Equations and Applications - Assignment 5: Solutions of Quadratic Equations and their Applications 1.
Quadratic equation - Compute the value of the discriminant and give the number of real solutions to the quadratic equation -3x^2 - 3x - 5=0
www.brainmass.com /homework-help/math/other/7938   (273 words)

  
 Math Skills - The Quadratic Equation
There are two roots (answers) to a quadratic equation, because of the
Since it is impossible to have a negative concentration remaining, the 0.309 number is extraneous (meaningless) and the other, x = 0.099 is the root we are interested in.
Therefore, A and B both lost 0.099 M and the equilibrium concentrations of both C and D are 0.099 M. Solve for x using the quadratic equation:
www.chem.tamu.edu /class/fyp/mathrev/mr-quadr.html   (399 words)

  
 Algebra: Quadratic Equations - EnchantedLearning.com
When you graph a quadratic equation, you get a parabola, and the solutions to the quadratic equation represent where the parabola crosses the x-axis.
The quadratic formula is obtained by solving the general quadratic equation.
Every quadratic equation has at most two solutions, but for some equations, the two solutions are the same number, and for others, there is no solution on the number line (because it would involve the square root of a negative number).
www.zoomschool.com /math/algebra/quadratic   (442 words)

  
 quadratic equation graph hyperbola
The rewritten equation is in the form of the difference oftwo squares and in factored form we have
This is the equation of a parabolapassing through the points (2,0) and (5,0) having an axis of symmetrywith slope of 1.
Examination of the generalized quadratic was once standardfare in courses on analytical geometry.
www.softmath.com /tutorials2/quadratic-equation-graph-hyperbola.html   (1049 words)

  
 Quadratic etc equations
In about 300 BC Euclid developed a geometrical approach which, although later mathematicians used it to solve quadratic equations, amounted to finding a length which in our notation was the root of a quadratic equation.
He has six chapters each devoted to a different type of equation, the equations being made up of three types of quantities namely: roots, squares of roots and numbers i.e.
Al-Khwarizmi gives the rule for solving each type of equation, essentially the familiar quadratic formula given for a numerical example in each case, and then a proof for each example which is a geometrical completing the square.
www-gap.dcs.st-and.ac.uk /~history/HistTopics/Quadratic_etc_equations.html   (1458 words)

  
 factor calculator for a quadratic equation
you need to know how to solve quadratics by the methods taught in class, the program is a great way to check your work for accuracy.
you'll still be expected to solve quadratic equations manually in class and in homework.
This one-line comment should be instantly recognizable to anyone who has studied quadratic equations.
softmath.com /tutorials/factor-calculator-for-a-quadratic-equation.html   (802 words)

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