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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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