In this blog we will see how to

**Completing the Square**. To find the complete square of any term first we need to take a quadratic equation. For example: as we know that the equation which has highest power is 2 is said to be quadratic equation. The general form can be written as: ax^{2}+ bx + c = 0, then change the general form into this given form:
a ( x + d)

^{2}+ e = 0.
If we want to find the value of variable ‘d’ then we use formula: the formula to find the vaule of ‘d’ given as: d = b / 2a and formula to find the vlaue of ‘e’ is given as: e = c – b

^{2}/ 4a. To calculate the complete square we need to follow some basic steps so that we can easily understand the process.**Step 1:**First of all we have to take a simple expression. Suppose we have simple expression as: x

^{2}+ bx. Here in this expression value of x is twice.

**Step 2:**Then complete square in the given expression. So it can be written as: x

^{2}+ bx + (b / 2)

^{2}= (x + b / 2)

^{2}, it means if we add (b / 2)

^{2}then we get the square.

Let understand all the steps with the help of small example:

For example: p

^{2}+ 6x + 7, in this expression the value of b is 6,
Solution: Given expression is p

^{2}+ 6x + 7, to find its complete square we need to follow the above mention steps:
First of all we have to find the complete square or value of d. we can find the vlaue of d using the above given formula:

d = b / 2a = 6 / 2

So it can be written as:

p

^{2}+ 6p + (6 / 2)^{2}+ 7 – (6 / 2)^{2}
So it can be written as:

(p + 6 / 2)

^{2}+ 7 – 9 on further solving we get:
(p + 3)

^{2}– 2. in this way we can find out the complete square.**Rolling Friction**is the force resisting motion when a body rolls on a surface. icse books free download to get more information about rolling fraction.

## No comments:

## Post a Comment