Question 896399: l 8x +8 l = 8
Answer by harpazo(655)   (Show Source):
You can put this solution on YOUR website! Built two cases.
Case 1
8x + 8 = 8
Solve for x.
8x = 8 - 8
8x = 0
x = 0/8
x = 0
Case 2
8x + 8 = -8
8x = -8 - 8
8x = -16
x = -16/8
x = -2
Always CHECK your answers.
The two cases create "derived" equations. These derived equations may not always be true equivalents to the original equation. Consequently, the roots of the derived equations MUST BE CHECKED in the original equation so that you do not list extraneous roots as answers.
Let's check this out.
Let x = 0 and then x = -2
|8x+8| = 8
|8(0) + 8| = 8
|0 + 8| = 8
|8| = 8
8 = 8...This is a true statement.
Now let's ttry x = -2.
|8(-2) + 8| = 8
|-16 + 8| = 8
|-8| = 8
8 = 8...This is also true.
Answer: The solutions are -2 and 0.
Understand?
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