The method of completing the square can be looked upon as a method which visualizes

a quadratic equation as an

that square, you are able to solve the quadratic equation. In the following example,

the quadratic equation x

square. In the process of completing the square, the quadratic equation is factored

to a simple form, which can be easily solved for 'x'.

In the above example, we illustrated a part of a quadratic equation visually, and

in the attempt of completing the square, it was factored to the form (x + a)

Once the equation is factored to this form, it is extremely easy to solve it by

taking the square root of both sides of the quadratic equation. By applying the

Zero Product Rule to the last equation obtaine above, we obtain:

by the method of completing the square as 1 and -3.

a quadratic equation as an

**incomplete square**, and in the process of completingthat square, you are able to solve the quadratic equation. In the following example,

the quadratic equation x

^{2}+ 2x - 3 = 0 is visualized as an incompletesquare. In the process of completing the square, the quadratic equation is factored

to a simple form, which can be easily solved for 'x'.

In the above example, we illustrated a part of a quadratic equation visually, and

in the attempt of completing the square, it was factored to the form (x + a)

^{2}.

Once the equation is factored to this form, it is extremely easy to solve it by

taking the square root of both sides of the quadratic equation. By applying the

Zero Product Rule to the last equation obtaine above, we obtain:

- Either x = +2 - 1 = 1
- Or x = -2 - 1 = -3

^{2}+ 2x - 3 = 0 are calculated

by the method of completing the square as 1 and -3.

Thanks for that. Maths now seems a little more real.

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