 # Completing the Square Worksheet

A worksheet is a sheet of paper on which a person performs some work. The worksheet may be in different forms, mostly they care associated with children’s schoolwork or assignments, accountings, business environments, and also tax forms that can be considered in worksheets. Nowadays, software worksheets are taking over paper worksheets.

A worksheet may consist of a set of questions or multiple tasks that are to be performed by a user. The user has to utilize time to finish those tasks. In mathematics terms, the worksheet can be used to create a set of tasks or series of questions to prove a formula or to get a certain value out of anything, or you can just either practice the questions using a worksheet.

## Completing the square in maths

For example X 2 + 10 = 24 completing the square let us rewrite this equation

Now, you might be saying that x 2 + 10 x = 24 could be easily solved without any new methods. And, that is true. However, it turns out that there are times when completing the square comes in a great need and will help you do a variety of things, including converting the equations of different geometry such as circles, hyperbolas, ellipses into forms that make it much easier to work with these shapes.

### The completed square value is ( x + 5 ) 2 = 49 but how?

The square root is taking, and the values are solved to complete the square of the given equation. Completing the square is a method used for solving a quadratic equation, using formulas and a lot of practicing the problems. The worksheet may consist of different questions for quadratic equations to be solved. It allows trinomials to be factored into two identical factors. To complete a square, it is important to find the constant terms or last number that enables the factoring of the trinomial value into two identical factors. For example,

2 + 4+ 4

(x + 2)(+ 2) or (+ 2)2

When you have to find the constant term needed, you can take the coefficient of x and divide it by two and then square the quotient. If its an equation rather than an expression, then the resulting number should be added to both sides of the equation

### Another example can be considered

What is a constant term used to factor the expression x2 – 12, and then divide it by 2

Take the coefficient of “,” which is −12, and divide it by 2.

−12 / 2 = −6

Now Take that number and square it. (−6)2 = 36

Adding the constant term of 36 would allow the expression to be factored into identical factors.