# When should you complete the square?

## When should you complete the square?

If you are trying to find the roots of a quadratic equation, then completing the square will ‘always work’, in the sense that it does not require the factors to be rational and in the sense that it will give you the complex roots if the quadratic’s roots are not real.

## Why would you use completing the square?

Completing the Square is a technique which can be used to find maximum or minimum values of quadratic functions. We can also use this technique to change or simplify the form of algebraic expressions. We can use it for solving quadratic equations.

Where do you use completing the square?

Note: Completing the square formula is used to derive the quadratic formula. Completing the square formula is a technique or method that can also be used to find the roots of the given quadratic equations, ax2 + bx + c = 0, where a, b and c are any real numbers but a ≠ 0.

Can you always use completing the square?

Completing the square isn’t exactly the easiest way to solve quadratic equations; its strength lies in the fact that the process is repetitive and predictable. Here’s the best news yet: Completing the square will always work, unlike the factoring method, which, of course, requires that the trinomial be factorable.

### What are the steps to completing the square?

The completing the square method involves the following steps:

1. Step 1) Divide all terms by the coefficient of .
2. Step 2) Find.
3. Step 3) Find.
4. Step 4) Add to both sides of the equation.
5. Step 5) Complete the square on the left-hand-side of the equation.
6. Step 7) Take the square root of both sides and solve for the variable.

### What does completing the square tell you?

Completing the square means writing a quadratic in the form of a squared bracket and adding a constant if necessary. One application of completing the square is finding the maximum or minimum value of the function, and when it occurs.

What does completing the square tell us?

What are the steps in completing the square?

## How do you use the square method?

Step 1 Divide all terms by a (the coefficient of x2). Step 2 Move the number term (c/a) to the right side of the equation. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

## What does it mean to complete a square?

Completing the square means writing a quadratic in the form of a squared bracket and adding a constant if necessary. For example, consider x2 + 6x + 7. Start by noting that. (x + 3)2 = (x + 3)(x + 3) = x2 + 6x + 9.

What are the steps to complete the square?

Step 1 Divide all terms by a (the coefficient of x 2). Step 2 Move the number term (c/a) to the right side of the equation. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

When do you use ‘completing the square’?

At…”. Completing the square is a technique used in algebra for different purposes such as solving a quadratic equation and graphing a quadratic function. Completing square is also used for the conics section of algebra 2 such as equation of a circle in order to find the center and the radius.

### What is the equation to complete the square?

Completing the square means that we take a quadratic equation in the form x 2 + 2bx + c and put it in this format: (x + b) 2 – b 2 + c. So, the formula for completing the square is: x 2 + 2bx + c = (x + b) 2 – b 2 + c.

### What does complete the square mean?

completing the square. [kəm′plēd·iŋthə ′skwer] (mathematics) A method of solving quadratic equations, consisting of moving all terms to the left side of the equation, dividing through by the coefficient of the square term, and adding to both sides a number sufficient to make the left side a perfect square.