What Number Should Be Added To Both Sides Of The Equation To Complete The Square? X2 – 6X = 5
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Answers ( 2 )
What Number Should Be Added To Both Sides Of The Equation To Complete The Square? X2 – 6X = 5
It’s a common problem in basic algebra: what number should be added to both sides of the equation to complete the square? The answer can be as simple as adding nine. In this blog post, we will discuss why adding nine is the answer to this particular equation and how you can use it to complete other equations with similar characteristics. We’ll also explore some other common math problems that can be solved using the same method. Read on to learn more about completing squares and how you can apply it in your own algebra studies.
What is the equation for completing the square?
If you’re working with the equation x – x =, you can complete the square by adding the square of half of x to both sides. This will give you the equation (x – )(x – ) = 0. You can then factor this equation to get (x – )(x + ) = 0.
How do you solve for x when given an equation?
To solve for x when given an equation, one must first identify the coefficients of the equation. The coefficient of the highest degree term is the leading coefficient. The next step is to determine what number should be added to both sides of the equation to complete the square. This number is equal to half the leading coefficient. Once this number has been determined, it can be added to both sides of the equation. The final step is to solve for x by using the quadratic formula.
What is the value of x when the equation is completed?
When solving equations, we are looking for the value of x that will make the equation true. In this case, we are looking for a value of x that will make the equation x – x = 0 true. The only value of x that will make this equation true is x = 0. Therefore, when completing the square, we are looking for a value of x that will make the equation (x – 0)2 = 0 true. The only value of x that will make this equation true is again x = 0.
How do you use the value of x to find the answer to the original equation?
If you’re given an equation in the form of x – x = something, you can complete the square by adding the same number to both sides of the equation. In other words, you would add x to both sides of the equation, resulting in x + x – x = x + something. You can then simplify the left side of the equation by combining the two like terms, which gives you 2x – x = x + something. And finally, you can solve for x by adding x to both sides of the equation, which gives you 2x = something + x.
Conclusion
Completing the square is a useful tool for solving equations of the form x2 + bx = c. In this case, we needed to add 9 to both sides of the equation in order to complete the square and get our solution. By adding 9, we were able to factorize one side of our equation and solve for x. The answer was 3 and -4, which means that if you add any number times two plus 6 times that same number will always equal 5 more than it does before. Hopefully this has given you an understanding on how completing the square can help you with your math problems!
Do you ever find yourself stuck in math class, trying to figure out what number to add to both sides of the equation to complete the square?
It can be tricky, but the answer is actually quite simple! To solve the equation X2 – 6X = 5, the number you need to add to both sides of the equation is 9.
Let’s break it down and explain just why that is.
First, you need to understand what “completing the square” means. Completing the square is a method of solving a quadratic equation by rewriting it in the form of a perfect square. In other words, it’s a way of taking an equation like X2 – 6X = 5 and transforming it into (X – 3)2 = 14.
To do this, you need to add a number to both sides of the equation. This number must be equal to one-half of the coefficient of the middle term. In this case, the coefficient of the middle term is 6, so the number you need to add is 9 (6/2 = 3, and 3² = 9).
Adding 9 to both sides of the equation X2 – 6X = 5 gives us X2 – 6X + 9 = 5 + 9, which can be rewritten as (X – 3)2 = 14.
And there you have it!
No matter how intimidating completing the square may seem, a little bit of knowledge can go a long way. Remembering the golden rule of adding one-half of the coefficient of the middle term to both sides of the equation can help you solve any equation you come across.