Solve X2 – 16X + 60 = -12 By Completing The Steps. First, Subtract From Each Side Of The Equation.
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Solve X2 – 16X + 60 = -12 By Completing The Steps. First, Subtract From Each Side Of The Equation.
Math can be an intimidating subject for many people, but it doesn’t have to be. Whether you are a student looking for help with your math homework or an adult trying to brush up on your skills, solving equations is a great way to learn the fundamentals of algebra and practice your problem-solving abilities. In this article, we will walk through the steps necessary to solve the equation x2 – 16x + 60 = -12. By following each step carefully, you’ll be able to understand how to use algebraic principles to solve any equation and master the basics of algebra in no time!
Solve X2 – 16X + 60 = -12 by completing the steps. First, subtract from each side of the equation
To solve for x, we need to get all the terms with x on one side and all the other terms on the other side. In this case, we’ll subtract from each side of the equation.
On the left side, we have x2 – 16x + 60. On the right side, we have -12. If we subtract -12 from each side, then we have:
x2 – 16x + 60 = -12 – 12
x2 – 16x + 60 = -24
Now we have all the terms with x on one side and all the other terms on the other. To solve for x, we’ll need to use the quadratic equation.
Then, add to each side of the equation
To solve for X, we need to subtract X from each side of the equation. This will cancel out the X on the left side, and we will be left with just the -X on the right side. So our equation will now look like this:
X – X + = –
Now we can solve for X by adding X to each side of the equation. This will cancel out the -X on the right side, and we will be left with just the X on the left side. So our equation will now look like this:
X – X + X = – + X
We can now see that X = -, and so our final answer is:
X = –
Next, divide each side of the equation by
1. Next, divide each side of the equation by the term with the highest exponent on the variable. In this case, that is -1 on the left side and 1 on the right side.
Finally, simplify the equation by factoring out the greatest common factor from each side of the equation
When solving equations, it is often helpful to simplify the equation by factoring out the greatest common factor from each side. This can be done by dividing each side of the equation by the greatest common factor. In this case, the greatest common factor is 2. Therefore, we will divide each side of the equation by 2.
Ooh, tricky! Solving an equation like this can seem intimidating at first, but if you take it one step at a time, you can get the right answer. Let’s break it down.
The first step to solving this equation is subtracting from each side. So, we need to subtract 60 from one side and -12 from the other side. That will give us:
X2 – 16X + 48 = 0
Now that we have the equation set up, we can move onto the next step. Depending on what kind of equation you’re dealing with, the next step might be factoring, using the quadratic formula, or completing the square.
For this equation, we can use the quadratic formula to solve. That formula looks like this:
x = [-b ± √(b2-4ac)]/2a
For this equation, a = 1, b = -16, and c = 48. Plugging those numbers into the equation gives us:
x = [-(-16) ± √((-16)2-4(1)(48))]/2(1)
Simplifying that equation gives us:
x = [16 ± √(256-192)]/2
Again, simplifying:
x = [16 ± √64]/2
Finally, we can solve for x:
x = 8 ± √64
So, the solution to the equation is x = 8 ± √64.
There you have it! That’s how you solve X2 – 16X + 60 = -12 by completing the steps. If you ever feel a bit overwhelmed by equations like this, just remember to take it step by step and you’ll be able to get the right answer. Good luck!