Concept - How to Have a Good Command of the Concept of Completing the Square Method?
September 23, 2021

Any polynomial equation which will be having the degree of two will be known as the quadratic equation and in this particular area, people need to be clear about several kinds of examples. The standard form of this particular equation will be AX square + BX plus C = 0 where A, B and C will be the real numbers and A will never be equal to 0 because X will be variable. Since the degree of all the above-mentioned points will be two it will be having two solutions all the time. The roots of the polynomial will be the values of X which will be very much capable of satisfying the whole equation. There are several kinds of methods of going with the option of finding out the solutions of the equation and one of the most commonly used methods is the completing the square method.

Concept of Completing the Square Method

Completing the square method is known as one of the most vital methods of finding out the roots of the given quadratic equation and in this particular system, people need to convert the given equation into a perfect square. One can always go with the option of evaluating the roots of the quadratic equation with the utilisation of the quadratic formula so that there is no problem at any point in time and overall goals are very easily achieved. Completing the square for the quadratic equation has been perfectly explained as follows:

The standard form will be AX square + BX + C = 0 and for simplification one can always assume A = 1 which will come out to be X square + BX + C = 0.

If the individuals are interested to represent this particular equation with the help of geometry then being clear about the description of the terms in the form of LHS is vital for the people into different kinds of shapes like square, rectangle and several other kinds of things. Hence, being clear about the implementation of this particular type of system is very much important so that geometrical equivalent can be found very easily and there is no problem at any point in time. In this particular manner, people also need to rearrange the figures so that implementation of the things can be undertaken very easily and there is no problem at any point in time.

Following other basic steps to be implemented at the time of completing the square method and its implementation:

1. People need to write the equation into the form so that she will always be on the right side

2. If A is not equal to 0 then people need to divide the complete equation by it so that the coefficient of X Square comes out to be one

3. Now one will need to add the square of half of the coefficient of the term minus X, B/2A square on both the sides

4. After this people need to be clear about the implementation of the factorising of the left side of the equation so that it comes out to be the square of the binomial term

5. Now one will need to take the square root on both the sides

6. After this people need to solve the variable X and find out the roots very easily in the whole process.

Hence, indulging in this particular type of simplified method of finding out the square is very much important so that there is no issue and people can find out the solutions of the quadratic equation very efficiently. People also need to go with the option of visit Cuemath website so that overall goals are very easily achieved and there is no hassle at any point in time in the whole process. In this particular manner, people will be highly capable of scoring well without any kind of issue.

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