|x+2|=8.....absolute value?

Question

for absolute value, is x=6 the right answer

Answer 1

x + 2 = 8 or x + 2 = - 8
x = 6 or x = - 10 is correct answer.

Answer 2

Often with these absolute value problems, there can be more than one answer.

Absolute value means that you take only the value without the sign (+ or -).

Therefore
|x+2|=8
is true if
x+2 = +8
AND if
x+2 = -8.

In this case, we get 2 answers:

x = +6 (then x+2 = +8 and the absolute value is 8)

x = -10 (then x+2 = -8 and the absolute value is 8)

Answer 3

Absolute value equations are really easy to think about if you will just write the equation out two times because that's really what the absolute value signs mean.

|x+2|=8 really implies two complete equations

a) x+2=8
and
b) -(x+2)=8 which can be written as -x-2=8

So you already answered equation a) 6+2=8

For equation b) -x=10 so there are two answers to EVERY absolute value equation (even if occasionally they are the same answer so some people only write it as one, the absolute value indicates that there are two equations to be worked)

x=6,-10

Answer 4

x=6,-10

|-10+2|=8
|6+2|=8

Answer 5

6 is one of the correct answers. -10 is the other.

|-10 +2| = |-8| = 8

Answer 6

X = 6
(X + 2) = 8
X + 2 = 8
X = 8 - 2
X = 6

Answer 7

no there are two values: x=6 or x=-10.

Answer 8

|x+2|=8

case(i)
x+2 >= 0
x +2 = 8
x = 6

case(ii)
x+2 < 0
-x -2 = 8
-x = 10
x = -10

Answer 9

you will desire to factor out x so, to get rid of two from x^2, you will desire to locate its sq. root and you will desire to do it on the main suitable facet too. so sq. root of 25 is 5, the respond is x=5.

Answer 10

Yes, and so is -10.