Split - Quadratic equations

I do not know what you are doing for this problem I am confused(x-8)^2=25
How do you solve by steps on this equation because I do no tunderstand.
 
I'm thinking that Subhotosh's method calls for you to realize that the expression on the left-hand side of the following equation factors as a difference of squares:

(x - 1)^2 - 7^2 = 0

Subhotosh's steps then show that:

x - 1 = ±7

There is another approach to try understand.

(x - 1)^2 = 49

Take the square-root of both sides.

|x - 1| = sqrt(49)

The square root of 49 is 7. To get rid of the absolute value symbols, we need to consider both the positive root of 49 and the negative root of 49.

x - 1 = ±7

Now, solve both equatons for x.

x - 1 = 7

or

x - 1 = -7
 
cphilpott777 said:
am I not going to get an answer?
Click to expand...

Your use of the phrase "an answer" is ambiguous. I cannot determine in your last post what you're trying to ask.

I understand that you want a complete list of steps that solve the equation (x - 1)^2 = 49.

Step 1: Take the square root of both sides

|x - 1| = 7

Step 2: Apply the definition of absolute value to obtain two new equations in x

x - 1 = ±7

Step 3: Solve the first new equation

x - 1 = 7

x = 8

Step 4: Solve the second new equation

x - 1 = -7

x = -6

Step 4: Check these two results by substitution into the left-hand side of the original equation to verify that they lead to 49

(-6 - 1)^2
(-7)^2
49

(8 - 1)^2
(7)^2
49

Step 5: Report both solutions

x = -6 or x = 8

If you do not understand something that I posted, please ask specific questions.
 
cphilpott777 said:
I do not know what you are doing for this problem I am confused(x-8)^2=25
How do you solve by steps on this equation because I do no tunderstand.
Click to expand...
WHY do you have no idea how to solve? Are you learning on your own?
If so, this is NOT a classroom.
 
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