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\(\frac{4}{5}x+0=4,5\)
\(\frac{4}{5}x=4,5\)
\(x=4,5:\frac{4}{5}\)
\(x=5,625\)
vậy \(x=5,625\)
\(\frac{x}{3}=\frac{-5}{9}\)
\(\Rightarrow9x=-5.3\)
\(\Rightarrow9x=-15\)
\(\Rightarrow x=\frac{-5}{3}\)
vậy \(x=\frac{-5}{3}\)
\(\left|x+5\right|-\frac{1}{3}=\frac{2}{3}\)
\(\left|x+5\right|=\frac{2}{3}+\frac{1}{3}\)
\(\left|x+5\right|=1\)
\(\Rightarrow\orbr{\begin{cases}x+5=1\\x+5=-1\end{cases}}\Rightarrow\orbr{\begin{cases}x=-4\\x=-6\end{cases}}\)
vậy \(\orbr{\begin{cases}x=-4\\x=-6\end{cases}}\)
\(\left(x-2\right)^3=-125\)
\(\left(x-2\right)^3=\left(-5\right)^3\)
\(\Rightarrow x-2=-5\)
\(\Rightarrow x=-3\)
vậy \(x=-3\)
\(a,\frac{15^3.\left(-5\right)^4}{\left(-3\right)^5.5^6}\)\(=\frac{3^3.5^3}{\left(-3\right)^5.5^2}\)\(=-\frac{5}{\left(3\right)^2}=-\frac{5}{9}\)
\(b,\frac{6^3.2.\left(-3\right)^2}{\left(-2\right)^9.3^7}\)\(=-\frac{6^3}{2^8.3^5}\)\(=-\frac{2^3.3^3}{2^8.3^5}\)\(=-\frac{1}{2^5.3^2}=-\frac{1}{288}\)
\(c,\frac{3^6.7^2-3^7.7}{3^7.21}\)\(=\frac{3^6.7\left(7-3\right)}{3^7.21}\)\(=\frac{3^6.7.4}{3^7.7.3}\)\(=\frac{4}{3.3}=\frac{4}{9}\)
\(a,\left(x-1,2\right)^2=4\)
\(\Rightarrow x-1,2=2\)
\(\Rightarrow x=3,2\)
\(b,\left(x+1\right)^3=-125\)
\(\Rightarrow\left(x+1\right)^3=\left(-5\right)^3\)
\(\Rightarrow x+1=-5\Rightarrow x=-6\)
\(c,\left(x-5\right)^3=2^6\)
\(\Rightarrow\left(x-5\right)^3=4^3\)
\(\Rightarrow x-5=4\Rightarrow x=9\)
\(d,\left(2x+1\right)^{x+1}=5^{x+1}\)
\(\Rightarrow2x+1=5\Rightarrow x=2\)
Cái câu đầu bn nhập sai rùi
Câu 2
\(x^5=2x^7\)
\(\frac{x^5}{x^7}=2\)
\(\frac{1}{x^2}=2\)
\(\left(\frac{1}{x}\right)^2=2\)
\(\frac{1}{x}=\sqrt{2}\)
Câu cuối
Ta thấy 2, 3, 5 đều là số nguyên tố nên
Ta phân tích 144 thành số nguyên tố \(2^4\cdot3^2\)
Thay vào Ta tính x=6; y=5
Vì số nào lũy thừa 0 lên cũng bằng 1 nên
Ta có thể viết \(144=2^4\cdot3^2\cdot5^0\)
Thay vào ta tính z=1
o phan dau tien ta co
x-5nhan căn bậc hai của x bằng 0
=>5 nhan can bac hai cua x bang x
=>ta co the thay x bang 5 nhan can bac hai cua x
thay vao ta duoc 5 nhan can bac hai cua x nhan voi5 nhan can bac hai cua x bang x^2
25*x=x^2=x*x
suy ra x=25
vay x=25
o phan tiep theo
x5=2x7
=>x.x.x.x.x.1=2.x.x.x.x.x.x.x
=>1=2.x.x
=>1/2=x*x
=>x= can bac hai cua 1/2
o phan cuoi cung
2x-2.3y-3.5z-1=144
=>2^x/4.3^y/9.5^z/5=144
=>2^x.3^y.5^z=144/4/9/5=0.8
ma o day ta thay 0.8 khong chua h chia het cho y x va z
vay ko co cap x y z nao thoa man
a) Tìm \(n\in N\), biết:
\(3.5^{2n+1}-3.25^n=300\)
b) Tìm x để:
\(f\left(x\right)=6x^{^{ }4}-2x^3+5=5\)
a)\(3\cdot5^{2n+1}-3\cdot25^n=300\)
\(3\cdot5^{2n}\cdot5-3\cdot25^n=300\)
\(15\cdot25^n-3\cdot25^n=300\)
\(25^n\cdot12=300\)
\(25^n=25\)
\(\Rightarrow n=1\)
b)\(f\left(x\right)=6x^4-2x^3+5=5\)
\(6x^4-2x^3=0\)
\(6x^4=2x^3\)
\(3x^4=x^3\)
\(3x^4-x^3=0\)
\(x^3\left(3x-1\right)=0\)
\(\Rightarrow x^3=0\) hoặc 3x-1=0
\(\Rightarrow x=0,3x=1\)
\(\Rightarrow x=0,x=\frac{1}{3}\)(loại vì \(x\in N\))
Vậy x=0
a: =>(3x+6)(x+5)<0
=>(x+2)(x+5)<0
=>-5<x<-2
b: \(\Leftrightarrow\dfrac{x+2}{x+1}>0\)
=>x>-1 hoặc x<-2
c: \(\Leftrightarrow\dfrac{x-1}{2x+5}-1>0\)
\(\Leftrightarrow\dfrac{x-1-2x-5}{2x+5}>0\)
\(\Leftrightarrow\dfrac{x+6}{2x+5}< 0\)
=>x>-5/2 hoặc x<-6
#)Giải :
a) \(\left(5x+1\right)^2=\frac{36}{49}\Leftrightarrow\left(5x+1\right)^2=\left(\frac{6}{7}\right)^2\Leftrightarrow5x+1=\frac{6}{7}\Leftrightarrow5x=-\frac{1}{7}\Leftrightarrow x=-\frac{1}{35}\)
b) \(\left(x-\frac{2}{9}\right)^3=\left(\frac{2}{3}\right)^6\Leftrightarrow\left(x-\frac{2}{9}\right)^3=\left[\left(\frac{2}{3}\right)^2\right]^3\Leftrightarrow x-\frac{2}{9}=\left(\frac{2}{3}\right)^2=\frac{4}{9}\Leftrightarrow x=\frac{2}{3}\)
c) \(\left(8x-1\right)^{2x+1}=5^{2x+1}\Leftrightarrow8x-1=5\Leftrightarrow8x=6\Leftrightarrow x=\frac{6}{8}\)
a) \(\left(5x+1\right)^2=\frac{36}{49}\)
\(\left(5x+1\right)^2=\frac{6^2}{7^2}\)
\(\left(5x+1\right)^2=\left(\frac{6}{7}\right)^2\)
\(\Leftrightarrow5x+1=\frac{6}{7}\)
\(5x=\frac{6}{7}-1\)
\(5x=\frac{6}{7}-\frac{7}{7}\)
\(5x=-\frac{1}{7}\)
\(x=-\frac{1}{7}\div5\)
\(x=-\frac{1}{7}\times\frac{1}{5}\)
\(x=-\frac{1}{35}\)
Vậy \(x=-\frac{1}{35}\)
|2x-1|=1,5
TH(1)2x-1=1,5
2x =1,5+1
2x =2,5
x =2,5 :2
x =1,25
TH(2) 2x-1=-1,5
2x =-1,5+1
2x =-0,5
x =-0,5:2
x =-0,25
các câu khác cứ tương tự bạn nhé
b) \(7,5-\left|5-2x\right|=-4,5\)
\(\left|5-2x\right|=7,5+4,7\)
\(\left|5-2x\right|=12\)
th1 :\(5-2x=12\)
\(2x=5-12\)
\(2x=-7\)
\(x=-7:2\)
\(x=-3,5\)
th2: \(5-2x=-12\)
\(2x=5+12\)
\(2x=17\)
\(x=17:2\)
\(x=8,5\)
c) \(-3+\left|x\right|=-1\)
\(\left|x\right|=-1+3\)
\(\left|x\right|=2\)
th1: \(x=-2\)
th2 : \(x=2\)
d)\(\left|2\dfrac{1}{3}-x\right|=\dfrac{1}{6}\)
\(\left|\dfrac{7}{3}-x\right|=\dfrac{1}{6}\)
th1 :\(\dfrac{7}{3}-x=\dfrac{1}{6}\)
\(x=\dfrac{7}{3}-\dfrac{1}{2}\)
\(x=\dfrac{11}{6}\)
th2: \(\dfrac{7}{3}-x=\dfrac{-1}{6}\)
\(x=\dfrac{7}{3}+\dfrac{1}{6}\)
\(x=\dfrac{-5}{2}\)
e) \(\dfrac{5}{7}-\left|x+1\right|=\dfrac{1}{14}\)
\(\left|x+1\right|=\dfrac{5}{7}-\dfrac{1}{14}\)
\(\left|x+1\right|=\dfrac{9}{14}\)
th1 :\(x+1=\dfrac{9}{14}\)
\(x=\dfrac{9}{14}-1\)
\(x=\dfrac{-5}{14}\)
th2 : \(x+1=\dfrac{-9}{14}\)
\(x=\dfrac{-9}{14}-1\)
\(x=\dfrac{-5}{14}\)
\(5^{2x+1}=125\)
\(5^{2x+1}=5^3\)
\(\Rightarrow\)\(2x+1=3\)
\(2x=3-1\)
\(2x=2\)
\(x=2\div2\)
\(x=1\)
52x+1=125
52x+1=53
=> 2x+1=3
2x=3-1=2
x=2:2=1
k mình nha bạn