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Ta có : \(\left(13.3^{x-2}-3^x\right):2=162\)
\(\implies\) \(13.3^{x-2}-3^x=162.2\)
\(\implies\) \(13.3^{x-2}-3^{x-2}.3^2=324\)
\(\implies\) \(3^{x-2}.\left(13-3^2\right)=324\)
\(\implies\) \(3^{x-2}.4=324\)
\(\implies\) \(3^{x-2}=324:4\)
\(\implies\) \(3^{x-2}=81\)
\(\implies\) \(3^{x-2}=3^4\)
\(\implies\) \(x-2=4\)
\(\implies\) \(x=4+2\)
\(\implies\) \(x=6\)
\(5^x+5^{x+2}=650;5^x.26=650;5^x=25;x=2\)
\(2^x+2^{x+3}=144;2^x.9=144;2^x=16;x=4\)
\(3^{x-1}+5.3^{x-1}=162;3^{x-1}.6=162;3^{x-1}=27;x=4\)
\(\left(x-5\right)^4=\left(x-5\right)^6\)
\(\rightarrow x-5=0\&x-5=1\) hoặc x - 5 = - 1
\(x-5=1;x=6;x-5=0;x=5;x-5=-1;x=4\)
\(\left(2^2:4\right).2^n=4;2^n=2^2;n=2\)
d) 2x2-1=49
2x2=49+1
2x2=50
x2=50:2
x2=25
x2=52
=> x=5
Vậy x=5
e) (50-2x2) (3|x|-9) (x3+8)=0
=> 50-2x2=0 hoặc 3|x|-9=0 hoặc x3+8=0
=> x=5 hoặc x thuộc {-3;3} hoặc x=2
Vậy x thuộc {5;-3;3;2}
f) (x+1)+(x+3)+...+(x+99)=0
x+1+x+3+...+x+99=0
(x+x+x+...+x)+(1+3+5+...+99)=0
50 SH x
50x+2500=0
=> 50x=-2500
x=-50
Vậy x=-50.
Học tốt!
#Huyền#
a) \(\frac{22}{7}:\left(11-x\right)+\frac{2}{3}=\frac{7}{5}\)
\(\frac{22}{7}:\left(11-x\right)=\frac{7}{5}-\frac{2}{3}\)
\(\frac{22}{7}:\left(11-x\right)=\frac{11}{15}\)
\(11-x=\frac{22}{7}:\frac{11}{15}\)
\(11-x=\frac{30}{7}\)
\(x=11-\frac{30}{7}\)
\(x=\frac{47}{7}\)
b) \(22.\left(x+1\right)-12,5=53,5\)
\(22.\left(x+1\right)=53,5+12,5\)
\(22.\left(x+1\right)=66\)
\(x+1=66:22\)
\(x+1=3\)
\(x=3-1\)
\(x=2\)
c) \(\left(x-\frac{1}{2}\right).\frac{5}{2}+\frac{1}{2}=\frac{7}{4}\)
\(\left(x-\frac{1}{2}\right).\frac{5}{2}=\frac{7}{4}-\frac{1}{2}\)
\(\left(x-\frac{1}{2}\right).\frac{5}{2}=\frac{5}{4}\)
\(x-\frac{1}{2}=\frac{5}{4}:\frac{5}{2}\)
\(x-\frac{1}{2}=\frac{1}{2}\)
\(x=\frac{1}{2}+\frac{1}{2}\)
\(x=1\)
a)22/7:(11-x)=7/5-2/3
22/7:(11-x)=11/15
11-x=22/7:11/15
11-x=30/7
x=11-30/7
x=47/7
vậy x=47/7
b)22.(x+1)=53,5+12,5
22.(x+1)=66
x+1=66:2
x+1=3
x=3-1
x=2
vậy x=2
c)(x-1/2).5/2=7/4-1/2
(x-1/2).5/2=5/4
x-1/2=5/4:5/2
x-1/2=1/2
x=1/2+1/2
x=1
vậy x=1
bạn hãy tích đúng cho mình nhé
a, x+5=-2+11
=> x + 5 = 9
=> x = 4
b, -3x=-5+29
=> -3x = 24
=> x = -8
c,|x-9|=-2+17
=> |x-9| = 15
=> x - 9 = 15 hoặc x - 9 = -15
=> x = 24 hoặc x = -6
d, |x|-9=-2+17
=> |x| - 9 = 15
=> |x| = 24
=> x = 24 hoặc x = -24
e,|x+19|+|x+5|+|x+2011|=4x
|x + 19| > 0 ; |X + 5| > 0 ; |x + 2011| > 0
=> |x + 19| + |X + 5| + | x + 2011| > 0
=> 4x > 0
=> x > 0
=> x + 19 + x + 5 + x + 2011 = 4x
=> 3x + 2035 = 4x
=> x = 2035
a, | 2 - x | + 2 = x
2 - x + 2 = x
x + x = 2 + 2
x + x = 4
2. x = 4
x = 4 : 2
x = 2
Vậy x = 2
b,| x + 7 | = | x - 9 |
x + 7 = x - 9
x + x = 7 - 9
2. x = -2
x = -2 : 2
x = -1
NHớ k hộ mk nha
Học tốt
(x–2). (x–2)= (–162):(–2)
=> (x-2)2 = 81
=> (x-2)2 = 92
=> x-2 = 9
=> x = 9 + 2
=> x = 11
Vậy x = 11
~k+kb nha~
(x-2)(x-2)=(-162):(-2)
<=> (x-2)2=81
<=> \(\orbr{\begin{cases}\left(x-2\right)^2=9^2\\\left(x-2\right)^2=\left(-9\right)^2\end{cases}\Leftrightarrow\orbr{\begin{cases}x-2=9\\x-2=-9\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=11\\x=-7\end{cases}}}\)
Vaayj x=11; x=-7