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Purplemath
Purplemath contains practical algebra lessons demonstrating useful techniques and pointing out common errors. Lessons are written with the struggling student in mind, and stress the practicalites over the technicalities. Links and other resources also available.
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Completing The Square Calculator
The process for finding the last term of a perfect square trinomial (x2 +b*x +c) is called completing the square. Completing The Square Calculator' means the calculator is using the process called completing the square. In a perfect square trinomial the last term c is always (.5*b )2. One can input the trinomial on the calculator screen as an equation like A*x2 +B*x +C = 0 following calculator manual instructions. Calculator then stores the values of coefficients A, B, and C and then simplifies the equation to the form x2 +b*x +c = 0. Then the calculator uses the completing the square rule to solve the equation. If the equation is not a perfect square addition, subtraction, division, factoring, and complete the square algebraic operations are done to solve the trinomial equation. Equation in calculator is entered as Ax2 + Bx + C = 0. When the input equation is not a perfect square then the algebraic operations are done to convert the equation so that the left hand side (LHS) of the equation is a perfect square trinomial (x2 +b*x +c; c = .5*b) and right hand side RHS) is also a perfect square number d2. Once this is done, then x + c = d; x + c = -d. and x = d-c; x = -d-c. Thus the calculator has used the process called completing the square. The calculator also displays the steps done to solve the problem if requested.
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