Question

1. # Which Statement Describes The First Step To Solve The Equation By Completing The Square? 3X2+18X=21

Solving an equation by completing the square is a method that allows you to solve for the value of an unknown variable in a given equation. This technique is used when the equation has terms that contain an unknown squared value, such as x2 or y2. The first step in solving an equation by completing the square is to identify the coefficient of the squared term and divide it by two. This number will then be used to create a perfect square trinomial on one side of the equation and also be subtracted from both sides of the equation. In this article, we’ll take a look at how to use this method to solve 3×2+18x=21.

## What is completing the square?

The first step to solving the equation by completing the square is to take the square root of both sides of the equation. This will give you the equation x+x=y. Next, you will need to complete the square by adding the square of the y-value to both sides of the equation. This will give you the equation x+x+y^2=y^2. Finally, you will need to solve for x by subtracting y^2 from both sides of the equation. This will give you the equation x=y^2-y.

## How to solve equations by completing the square

To solve an equation by completing the square, the first step is to identify the coefficient of x^2 and multiply it by 1/2. Then, take this result and square it. Add this value to both sides of the equation. On the left side of the equation, you will now have a perfect square trinomial. On the right side of the equation, you will have a constant.

## The first step to solving the equation by completing the square

In order to solve the equation by completing the square, the first step is to take the square of each side of the equation. This will ensure that the equation is balanced and that there is no lost information. Once this is done, you can then proceed to solving the equation as usual.

## Example equation

In order to solve the equation by completing the square, the first step is to take the equation and rearrange it so that all of the terms are on one side, and the constant is on the other. For this equation, that would mean adding 2x to each side. The new equation would look like this: x+x=2x.

## Conclusion

Solving equations by completing the square is a great way to practice your algebraic skills. As we have seen, the first step of this process involves rewriting the equation in such a way that one side is equal to zero and includes a perfect square trinomial. Once you have done this, you can then use the completed square formula to determine what value must be added or subtracted from each side in order to solve for x. With practice and patience, completing the squares can help you master solving equations with ease!

2. The equation 3×2 + 18x – 21 can be solved using the completing the square method. This is an algebraic technique used to solve a quadratic equation by taking the variables to one side and a constant number, often referred as a ‘constant term’, to the other side. The first step of this process requires identifying and separating both sides of the given equation into either binomial or trinomial forms.

The binomial form for this particular equation is 3×2 + 18x = 21 and can be written in terms of its two distinct parts – 3×2 and 18x. It should then be easy to recognize that on one side, you have a perfect square (3×2) while on the other side you have an imperfect square (18x).

3. Are you stuck trying to figure out the first step to solve the equation by completing the square?

Don’t worry, you’ve come to the right place! In this blog post, we’ll explain what you need to do in order to complete the square and solve the equation.

The first step to solve the equation by completing the square is to rewrite the equation so that it has a perfect square on one side of the equation and a number on the other side.

For this equation, 3×2+18x=21, the first step is to move the 18x to the other side of the equation. This can be done by subtracting the 18x from both sides. Doing so gives us 3×2 = 3 – 21.

Now that we have the equation in this form, we can move on to the next step of completing the square, which is to take half of the coefficient of the variable and square it. In this case, the coefficient of x is 3, so we square half of that, which is 1.5, giving us 2.25.

Next, we add the 2.25 to both sides of the equation. Doing so gives us 3×2+2.25 = 3-21+2.25.

Finally, the last step is to take the square root of both sides of the equation. Doing so gives us x = √(3-21+2.25).

There you have it! That’s the first step to solve the equation by completing the square. We hope this blog post has been helpful in helping you understand how to complete the square and solve the equation.

4. ‍ Solving equations by completing the square is a common yet powerful algebraic technique. It involves manipulating an equation so that the equation can be solved using the Quadratic Formula.

So, if you are wondering which statement describes the first step to solve the equation by completing the square, the answer is:

First, you need to move the constant term to the right side of the equation.

In this case, the equation is 3×2 + 18x = 21. To move the constant term to the right side, we subtract 21 from both sides of the equation. This leaves us with 3×2 + 18x – 21 = 0.

➕ Next, we need to add the square of half of the coefficient of x to both sides of the equation. This will complete the square and make it easier to solve.

In our equation, the coefficient of x is 18. Half of 18 is 9, so we must add 9² = 81 to both sides of the equation. This gives us 3×2 + 18x – 21 + 81 = 81.

Now, we have the equation in the form of ax2 + bx + c = 0, which is the standard format for a quadratic equation. This means that we can use the Quadratic Formula to solve for x.

So, there you have it! The first step to solve the equation by completing the square is to move the constant term to the right side of the equation and then add the square of half of the coefficient of x to both sides of the equation.