3 l x-3 l + 4 = 10 find x.
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calendarEducator since 2008
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3 l x-3 l + 4 = 10
To solve for x , we need to isolate the absolute value on the left side.
First we will subtract 4 from both sides.
==> 3 l x-3 l = 6
Now we will divide by 3.
==> l x-3 l = 2
Now we have two cases.
Case(1): Positive value.
==> x-3 = 2 ==> x = 5
Case(2) : negative value.
==> -(x-3) = 2 ==> -x + 3 = 2 ==> -x = -1 ==> x = 1
==> Then the values of x are :
x = { 1, 5}
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calendarEducator since 2010
write12,544 answers
starTop subjects are Math, Science, and Business
We have to solve 3 l x-3 l + 4 = 10.
3 l x-3 l + 4 = 10
=> 3* |x - 3| = 6
=> | x -3 | = 2
This equation is satisfied for the following cases:
x - 3 = 2
=> x = 5
and 3 - x = 2
=> x = 1
Therefore x is equal to 5 and 1.
Q: 3 l x-3 l + 4 = 10 We have to find x.
Solution:
We subtract 4 from both sides of the equation:
3 |x-3| = 10-4 =6.
3|x-3| = 6.
We divide both sides of 3|x-3| = 6, by 3:
|x-3| = 2.
If x> 3, then |x-3| = x-3 = 2 .
So x- 3 = 2, Or x = 5.
If x< 3, then |x-3| = 3-x = 2.
So 3-2 = x. Or x= 1.
So x= 1, or x = 5.
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