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a)
x-3=15
x = 15+3=18
b)
x+7-13=13
x+7 =13-13=0
x = 0-7=-7
c)
x+3-16=-4
x+3 =-4+16=12
x = 12-3=9
d)
26-x-9=-13
-x-9= -13-26=-39
-x =-39+9=-30
x=30
a) \(\left|x+3\right|=15\)
\(\Rightarrow\orbr{\begin{cases}x=15-3\\x=-15-3\end{cases}\Rightarrow}\orbr{\begin{cases}x=12\\x=-18\end{cases}}\)
b) Đề sai
c) Đề sai
d) \(26-\left|x+9\right|=-13\)
\(\Rightarrow\left|x+9\right|=26-\left(-13\right)\)
\(\Rightarrow\left|x+9\right|=39\)
\(\Rightarrow\orbr{\begin{cases}x=39-9\\x=-39-9\end{cases}\Rightarrow\orbr{\begin{cases}x=30\\x=-48\end{cases}}}\)
a) -x + 8= -17
=) -x=-17-8
=)-x=-25
=)x=25
b) 35-x=37
=)x=35-37
=)x=-2
c) -19-x=-20
=)x= -19 - (-26)
=)x=7
d) x-45=-17
=) x=-17+45
=)x=28
e) I x +3 I =15
=) x= I15-3I
=) x=12
g) Ix-7I + 13 = 25
=) Ix-7I=25-13=12
=)x=I12+7I
=)x=19
Tương tự nha ><
a)|x-7|+13=25
|x-7| = 25-13
|x-7| = 12
|x| = 12+7
=> x = 19
b)|x-3|-16=-4
|x-3| = -4+16
|x-3| = 12
|x| = 12+3
=> x = 15
c)26-|x+9|=-13
|x+9| = -13-26
|x+9| = -39
|x| = -39 -9
=> x = 48
a) -x + 8 = -17
⇔ -x = -17 - 8
⇔ -x = -25
⇔ x = 25
b) 35 - x = 37
⇔ x = 35 - 37
⇔ x = -2
c) -19 - x = -20
⇔ x = -19 + 20
⇔ x = 1
d) x - 45 = -17
⇔ x = -17 + 45
⇔ x = 28
e) |x + 3| = 15
⇔ \(\left[{}\begin{matrix}x+3=15\\x+3=-15\end{matrix}\right.\)
⇔ \(\left[{}\begin{matrix}x=15-3\\x=-15-3\end{matrix}\right.\)
⇔ \(\left[{}\begin{matrix}x=12\\x=-18\end{matrix}\right.\)
f) |x - 3| - 16 = -4
⇔ |x - 3| = -4 + 16
⇔ |x - 3| = 12
⇔ \(\left[{}\begin{matrix}x-3=12\\x-3=-12\end{matrix}\right.\)
⇔ \(\left[{}\begin{matrix}x=12+3\\x=-12+3\end{matrix}\right.\)
⇔ \(\left[{}\begin{matrix}x=15\\x=-9\end{matrix}\right.\)
k) 26 - |x + 9| = -13
⇔ |x + 9| = 26 + 13
⇔ |x + 9| = 39
⇔ \(\left[{}\begin{matrix}x+9=39\\x+9=-39\end{matrix}\right.\)
⇔ \(\left[{}\begin{matrix}x=39-9\\x=-39-9\end{matrix}\right.\)
⇔ \(\left[{}\begin{matrix}x=30\\x=-48\end{matrix}\right.\)
a,-x + 8 = -17
=> -x=-17-8
=> -x=-25
=> x=25
vậy x=25
b, 35 - x = 37
=> x=35-37
=> x=-2
vậy x=-2
c, -19 -x = -20
=> x=-19+20
=> x=1
vậy x=1
d, x - 45 = -17
=> x=-17+45
=> x=28
vậy x=28
e, | x+ 3| = 15
th1 x+3=15
=> x=15-3
=> x=12
th2 x+3=-15
=> x=-15-3
=> x=-18
vậy x=12 hoặc x=-18
g, |x-7| +13 = 25
=> \(\left|x-7\right|=25-13\)
=> \(\left|x-7\right|=12\)
th1 x-7=12
=> x=12+7
=> x=19
th2 x-7=-12
=>x=-12+7
=> x=-5
vậy x=19 hoặc x=-5
các câu sau tt
\(\left|x+3\right|=15\)
\(\Rightarrow\orbr{\begin{cases}x+3=15\\x+3=-15\end{cases}\Rightarrow\orbr{\begin{cases}x=15-3\\x=-15-3\end{cases}\Rightarrow}}\orbr{\begin{cases}x=12\\x=-18\end{cases}}\)
Vậy .........
a, bạn Forevër™ ( 30 - 03 - 2007 ) giải rồi nhé
b, Ta có :\(|x-7|+13=25\)
<=> : \(|x-7|=25-13\)
<=> : \(|x-7|=12\)
=> : \(x-7=12\) :
< => : \(x=19\)
: \(x=-5\)
Vậy\(x=\left\{-5;19\right\}\)
C,Ta có : \(|x-3|-16=-4\)
\(< =>|x-3|=-4+16\)
\(< =>|x-3|=12\)
\(< =>x-3=12\)hoặc \(x-3=-12\)
\(< =>x=15\)hoặc \(x=-9\)
Vậy\(x=\left\{15;-9\right\}\)
a, \(\left|x-3\right|-16=-4\Leftrightarrow\left|x-3\right|=12\)
\(\Leftrightarrow\orbr{\begin{cases}x-3=12\\x-3=-12\end{cases}\Leftrightarrow\orbr{\begin{cases}x=15\\x=-9\end{cases}}}\)
b, \(26-\left|x+9\right|=-13\Leftrightarrow\left|x+9\right|=39\)
\(\Leftrightarrow\orbr{\begin{cases}x+9=39\\x+9=-39\end{cases}\Leftrightarrow\orbr{\begin{cases}x=30\\x=-48\end{cases}}}\)
f, \(9x+25=-\left(2x-58\right)\Leftrightarrow9x+25=-2x+58\)
\(\Leftrightarrow11x-33=0\Leftrightarrow x=3\)
Làm nốt nhé !
a. \(\left|x-3\right|-16=-4\)
\(\Rightarrow\left|x-3\right|=12\)
\(\Rightarrow\orbr{\begin{cases}x-3=12\\x-3=-12\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=15\\x=-9\end{cases}}\)
b. \(26-\left|x+9\right|=-13\)
\(\Rightarrow\left|x+9\right|=39\)
\(\Rightarrow\orbr{\begin{cases}x+9=39\\x+9=-39\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=30\\x=-48\end{cases}}\)
c. \(5-\left(10-x\right)=7\)
\(\Rightarrow10-x=-2\)
\(\Rightarrow x=12\)
d. \(11+\left(15-x\right)=1\)
\(\Rightarrow15-x=-10\)
\(\Rightarrow x=25\)
e. \(8x-75=5x+21\)
\(\Rightarrow8x-5x=75+21\)
\(\Rightarrow3x=96\)
\(\Rightarrow x=32\)
f. \(9x+25=-\left(2x-58\right)\)
\(\Rightarrow9x+25=-2x+58\)
\(\Rightarrow9x+2x=58-25\)
\(\Rightarrow11x=33\)
\(\Rightarrow x=3\)
g. \(\left|x+3\right|=4\)
\(\Rightarrow\orbr{\begin{cases}x+3=4\\x+3=-4\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=1\\x=-7\end{cases}}\)
h. \(15-\left|2x-1\right|=\left|-8\right|\)
\(\Rightarrow15-\left|2x-1\right|=8\)
\(\Rightarrow\left|2x-1\right|=7\)
\(\Rightarrow\orbr{\begin{cases}2x-1=7\\2x-1=-7\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=4\\x=-4\end{cases}}\)
a, \(\left|x+3\right|=15\)
TH1 : \(x+3=15\Leftrightarrow x=12\)
TH2 : \(x+3=-15\Leftrightarrow x=-18\)
b, \(\left|x-7\right|+13=15\Leftrightarrow\left|x-7\right|=2\)
TH1 : \(x-7=2\Leftrightarrow x=9\)
TH2 : \(x-7=-2\Leftrightarrow x=5\)
c, \(\left|x-3\right|-16=-4\Leftrightarrow\left|x-3\right|=12\)
TH1 : \(x-3=12\Leftrightarrow x=15\)
TH2 : \(x-3=-12\Leftrightarrow x=-9\)
d, \(26-\left|x+9\right|=-13\Leftrightarrow\left|x+9\right|=39\)
TH1 : \(x+9=39\Leftrightarrow x=30\)
TH2 : \(x+9=-39\Leftrightarrow x=-48\)