Question

1. # What Number Should Be Added To Both Sides Of The Equation To Complete The Square? X2 + 12X = 11

Completing the square is an algebraic technique used to solve a quadratic equation. It is often used when solving more complex equations, such as those involving polynomials with higher exponents. In this article, we will answer the question: ‘What number should be added to both sides of the equation to complete the square?’ To do this, we will walk through a step-by-step process that can be applied to any quadratic equation in order to complete the square. So if you’re looking for some help with completing the square, read on!

## What is the Quadratic Formula?

In mathematics, the quadratic formula is the solution to the quadratic equation. There are many methods that can be used to solve a quadratic equation, but the quadratic formula is the most efficient method when dealing with larger equations. The quadratic equation is a second-degree polynomial equation in one variable, usually denoted by x. The standard form of a quadratic equation is:

ax^2 + bx + c = 0

The Quadratic Formula can be used to solve any quadratic equation. The formula is:

x = (-b ± √(b^2 – 4ac)) / (2a)

where a ≠ 0 .

## How to Use the Quadratic Formula

The quadratic equation is a mathematical formula used to calculate the roots of a quadratic polynomial. The quadratic formula is: x = (-b +/- sqrt(b^2-4ac)) / (2a) where b is the coefficient of the x term, a is the coefficient of the squared term, and c is the constant term.

To use the quadratic formula, one must first determine the values of a, b, and c. These values can be determined by solving for x in a given equation. Once the values of a, b, and c are known, plug them into the quadratic formula to solve for x.

## What is a Square Root?

A square root is a number that, when multiplied by itself, equals the given number. So, if we are looking for the square root of 25, we need to find a number that when multiplied by itself, equals 25. In this case, that number is 5.

## How to Find a Square Root

There are a few different methods that can be used to find a square root, but the most common is the long division method. To use this method, divide the number you are finding the square root of by 2. Then, take the quotient and divide it by 2. Continue doing this until you arrive at a quotient that is a perfect square. Once you have found the perfect square, Take the square root of this number and multiply it by 2. This will give you your answer.

## Conclusion

In this article, we explored what number should be added to both sides of the equation in order to complete the square. We concluded that in this instance, 36 must be added to both sides of the equation in order for it to become a perfect square. We also discussed how completing a perfect square can benefit you when solving quadratic equations and gave some examples showing how it works. Hopefully, this information has been useful and will help make your future math problems easier!

2. Have you ever been faced with the challenge of solving an algebra equation and wondered, “What number should be added to both sides of the equation to complete the square?” Well, you’re not alone! We’ve all been there.

When faced with an equation like this, the first step is to understand what’s being asked. The equation x2 + 12x = 11 is in the form of a quadratic equation, which is one of the types of equations used in algebra. In order to solve this equation, we need to find the variable that when squared, will equal the value 11.

In order to solve this equation, we must first use the algebraic technique of completing the square. This is a process of adding an appropriate number to both sides of the equation so that the left-hand side can be written as a perfect square. To do this, we must first determine what number should be added to both sides in order to complete the square.

In this case, the number we need to add is -12. By subtracting 12 from both sides of the equation, we can then rewrite the equation as x2 + 0 = -1. This is now in the form of a perfect square, as x2 = -1.

Now that the equation is in the form of a perfect square, we can use the quadratic formula to solve for x. The quadratic formula states that x = (-b ± √b2 – 4ac) / 2a. In this example, a = 1, b = 0, and c = -1. Plugging these values into the quadratic formula, we get that x = (+0 ± √0 – 4(1)(-1)) / 2(1). This simplifies to x = (+0 ± √4) / 2, which simplifies further to x = +1 or -1.

So, the answer to our question is -12. This is the number that needs to be added to both sides of the equation in order to complete the square.