i need steps.
2006-09-02 08:30:51 · 12 answers · asked by Mallorie Z 1 in Science & Mathematics ➔ Mathematics
5|x - 4| + 20 = -20
5|x - 4| = -40
|x - 4| = -8
Since you can't have a negative absolute value, this problem has No Solution.
2006-09-02 08:34:14 · answer #1 · answered by Sherman81 6 · 2⤊ 0⤋
If x is at least 4 then
5(x - 4) + 20 = -20
5x -20 + 20 = -20
5x = -20 So x = -4. No good, because of the first statement.
Suppose x<4 then 5(4 - x) + 20 = -20
20 - 5x + 20 = -20
60 = 5x, so x=12. No good , because x is supposed to be <4.
The original equation has no solution.
Another way:
5|x-4|+20=-20
5|x-4|=-40
Left is at least 0. Right <0. So no solution.
Th
2006-09-02 10:31:44 · answer #2 · answered by Thermo 6 · 0⤊ 0⤋
5|x-4|+20=0
2006-09-02 08:38:10 · answer #3 · answered by christopher k 1 · 0⤊ 0⤋
5(x-4)+20= -20
5(x-4)= -40 (Subtract 20 from -20 which = -40)
(x-4)= -8 (Divide -40 and 5 which = -8)
X= -4 ( -8 + 4 = -4)
2006-09-02 08:52:37 · answer #4 · answered by philisophical 1 · 1⤊ 0⤋
distribute the 5 and the x-4 but ur sopposed to get positive #s. so its 5x+20+20=-20. add the like terms_ 5x+40=-20. subtract 40_ 5x=-60. x=-12
2006-09-02 08:35:29 · answer #5 · answered by its me 3 · 0⤊ 0⤋
5x+20+20=-20
5x+40=-20
5x-40=20
(add 40 to 20)
5x=60
(divide both sides by 5)
x=12
2006-09-02 08:34:18 · answer #6 · answered by Anonymous · 0⤊ 0⤋
You can't change |x-4| with (x-4), it is not correct (of course...it's different :-).
When you check:
5 |-4-4| + 20 = - 20
The absolute of -8 is 8.
5 * 8 + 20 = - 20
40 + 20 = - 20
60 = - 20 : it's wrong.
2006-09-02 10:18:29 · answer #7 · answered by Francesco 2 · 0⤊ 0⤋
5x - 4 * 5 + 20 = -20
5x = -20 - 20 + 20
5x = -20
x = -20 / 5
x = -4
2006-09-02 08:43:56 · answer #8 · answered by freeraj1 1 · 0⤊ 0⤋
5(x-4)+20= -20
5(x-4)= -40
5x-20= -40
5x= -40+20
5x = -20
x= -4 (if you don´t believe me then try to fill it in)....
2006-09-02 08:45:42 · answer #9 · answered by V for Vendetta ♪ 4 · 0⤊ 0⤋
5(x-4)+20=-20
5x-20=-20-20
5x=-40+20
5x=-20
x=-4
CHECK:
5(-4-4)+20=-20
5(-8)+20=-20
-40+20=-20
-20+-20
2006-09-02 08:35:13 · answer #10 · answered by jrayv83 1 · 1⤊ 0⤋