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| x - 4 | = | 5 - 2x |
1, 3
1 only
3, -3
-1, -3
Which one of these answers do you think it would be?
You need to define ranges for x in which it would be solved.
The ranges would be based on values of x where (5-2x) = 0 and (x-4) = 0
a) for x < 2.5,
(x-4) <0 which means | x-4 | = -(x-4) = 4-x
(5-2x) >0 which means| 5-2x | = (5-2x)
Thus, in this range we solve:
4-x = 5-2x
=> x = 1
b) for 2.5 < x < 4,
(x-4) < 0 which means | x-4 | = -(x-4) = 4-x
(5-2x) < 0 which means | 5-2x | = -(5-2x) = 2x -5
4-x = 2x - 5
=> 9 = 3x
=> x = 3
c) for x > 4
(x-4) > 0 which means | x-4 | = (x-4)
x-4 = 2x - 5
But since, the range is for x >4, this solution is invalid.
So, the answers are: x = 1 and x = 3
x=5 -4
5-4=1
2x=2*2=4
Here are a couple of good math web sites
math forum. Ask Dr. Math
Math.com Math Practice
since in absolute value , a # inside the | | cannot be negitive you need to take the absolute value out and make everything positive
so your new equation would be : x+4=5+2x
then you would subtract the four from both sides of the equation
x=1+2x
then subtract the 2x
-x=1
divide by -1 to get
x=1
hope it helped
just solve it all four ways
x - 4 = 5 - 2x
x - 4 = - 5 + 2x
-x + 4 = 5 - 2x
-x + 4 = - 5 + 2x
-3x - 2x^2 - 20
if it isnt that im gonna mess up my GCSE's sooo badly
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Answers & Comments
Verified answer
You need to define ranges for x in which it would be solved.
The ranges would be based on values of x where (5-2x) = 0 and (x-4) = 0
a) for x < 2.5,
(x-4) <0 which means | x-4 | = -(x-4) = 4-x
(5-2x) >0 which means| 5-2x | = (5-2x)
Thus, in this range we solve:
4-x = 5-2x
=> x = 1
b) for 2.5 < x < 4,
(x-4) < 0 which means | x-4 | = -(x-4) = 4-x
(5-2x) < 0 which means | 5-2x | = -(5-2x) = 2x -5
Thus, in this range we solve:
4-x = 2x - 5
=> 9 = 3x
=> x = 3
c) for x > 4
(x-4) > 0 which means | x-4 | = (x-4)
(5-2x) < 0 which means | 5-2x | = -(5-2x) = 2x -5
Thus, in this range we solve:
x-4 = 2x - 5
=> x = 1
But since, the range is for x >4, this solution is invalid.
So, the answers are: x = 1 and x = 3
x=5 -4
5-4=1
2x=2*2=4
5-4=1
Here are a couple of good math web sites
math forum. Ask Dr. Math
Math.com Math Practice
since in absolute value , a # inside the | | cannot be negitive you need to take the absolute value out and make everything positive
so your new equation would be : x+4=5+2x
then you would subtract the four from both sides of the equation
x=1+2x
then subtract the 2x
-x=1
divide by -1 to get
x=1
hope it helped
just solve it all four ways
x - 4 = 5 - 2x
x - 4 = - 5 + 2x
-x + 4 = 5 - 2x
-x + 4 = - 5 + 2x
-3x - 2x^2 - 20
if it isnt that im gonna mess up my GCSE's sooo badly