![]() ![]() Moreover, the completing square technique is helpful because not all such equations can be factored. On the other hand, we can use the quadratic formula and complete the square procedures to resolve almost all varieties of quadratic problems. However, this approach is only helpful for a particular class of quadratic equations. The factoring approach is one of the fundamental methods for solving a quadratic equation. The value on the right side of the equation will be equal to the value on the left side if we substitute the number on the left side.Īny quadratic equation can be solved using one of three methods: \( (x – a)^2 = (x – a)(x – a) = x^2 – 2ax +a^2 \) Methods of finding solutions to Quadratic EquationsĪ quadratic equation’s root or solution is essentially a number that satisfies the equation. Observe that complete squares such as \( (x + a)^2\) or \( (x – a)^2\) can be expanded as follows: By rearranging the equation and completing the square, we can derive a simpler form to determine the variable values and find the solutions more efficiently. This approach is handy in cases where the quadratic equation needs to factor more easily or when complex numbers are involved. By completing the square, we can find the solutions to quadratic equations that cannot be easily solved using quadratic formulas. This method applies when the quadratic equation is \( ax^2+ bx+ c=0 \). It transforms the given equation into a form where the left side becomes a perfect square binomial. The completing the square method is used in mathematics to solve quadratic equations. The output will display the variable value for the specified term in the quadratic equation.īy following these simple steps, you can easily utilize the power of this calculator to complete the square and find the variable value for your quadratic equation.The calculator will perform the completing the square method and provide the result. ![]() Click the solve button to initiate the calculation process.Fill out the input field with the quadratic expression you want to solve.How to Complete the Square Using This Calculator Completing the square when the coefficient of x is not 1.Completing the square when the coefficient of x is 1.Methods of finding solutions to Quadratic Equations.How to Complete the Square Using This Calculator.
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