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3 tháng 9 2021

32x-4-x0=8

32x-4-1=8

⇒32x-4=9

⇒2x-4=2

⇒2x=6

x=6:2

x=3

1 tháng 12 2018

1)=>3(x-5)(2x+9)+3(x-5)=0=>(x-5)(6x+30)

=>x-5=0=>x=5

6x+30=0=>x=-5

2)=>x^2-16=0=>x=+-4

12-4x=0=>x=3

3)=>9-x^2=0=>x=+-3

4x-8=0=>x=2

4)=>8-x^3=0=>x=3

5^x-125=0=>x=2

5)=>2^x.2^x=8=>2^2x=8=>2x=3=>x=1,5

1 tháng 12 2018

tick mk vớieoeo

10 tháng 11 2018

\(2x-8x^2=0\Rightarrow2x\left(1-4x\right)=0\Rightarrow\orbr{\begin{cases}2x=0\\1-4x=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x=\frac{1}{4}\end{cases}}}\)

\(x-x^2=0\Rightarrow x\left(1-x\right)=0\Rightarrow\orbr{\begin{cases}x=0\\1-x=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x=1\end{cases}}}\)

Cn lại lm tương tự nha e!

=.= hok tốt!!

28 tháng 7 2018

a) \(2\left(x^2-4\right)^4+5\left(y^3+8\right)^2=0\)

Có 2\(\left(x^2-4\right)^4\)\(5\left(y^3+8\right)^2\ge0\)

\(2\left(x^2-4\right)^4+5\left(y^3+8\right)^2=0\)

=> \(2\left(x^2-4\right)^4=0\)\(5\left(y^3+8\right)=0\)

+) \(2\left(x^2-4\right)^4=0\) => \(x^2-4=0=>x^2=4=>x=2\)

b) \(3\left|2x^2-8\right|+7\left(2y-1\right)^2=0\)

\(3\left|2x^2-8\right|\ge0\) ; \(7\left(2y-1\right)^2\ge0\)

Mà ​​​​​​\(3\left|2x^2-8\right|+7\left(2y-1\right)^2=0\)

=> \(3\left|2x^2-8\right|=0\) ; \(7\left(2y-1\right)^2=0\)\

+) ​​\(3\left|2x^2-8\right|=0\) => \(2x^2-8=0=>2x^2=8=>x^2=4=>x=2\)

+) \(7\left(2y-1\right)^2=0\)

=> 2y-1=0

=> 2y = 1

=> y= \(\dfrac{1}{2}\)

\(a,[\left(8.x-12\right):4].3^3.3=3^6.6\)

\(\left(8x-12\right):4=54\)

\(8x-12=216\)

\(8x=228\)

\(x=28,5\)

\(b,41-2^{x+1}=9\)

\(2^{x+1}=41-9\)

\(2^{x+1}=32\)

\(2^{x+1}=2^5\)

\(\Rightarrow x+1=5\)

\(\Rightarrow x=4\)

4 tháng 2 2018

1/ \(\left\{{}\begin{matrix}\left(x-2\right)^{72}\ge0\\\left(y+1\right)^{70}\ge0\end{matrix}\right.\)

\(\left(x-2\right)^{72}+\left(y+1\right)^{70}=0\)

\(\Leftrightarrow\left\{{}\begin{matrix}\left(x-2\right)^{72}=0\\\left(y+1\right)^{70}=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x-2=0\\y+1=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=2\\y=-1\end{matrix}\right.\)

Vậy ...

2/ \(\left\{{}\begin{matrix}\left|x+1\right|\ge0\\\left|y-3\right|\ge0\end{matrix}\right.\)

\(\left|x+1\right|+\left|y-3\right|=0\)

\(\Leftrightarrow\left\{{}\begin{matrix}\left|x+1\right|=0\\\left|y-3\right|=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=-1\\y=3\end{matrix}\right.\)

Vậy ...

3/ \(\left\{{}\begin{matrix}\left(2x-10\right)^{100}\ge0\\\left(x-y\right)^{102}\ge0\end{matrix}\right.\)

\(\left(2x-10\right)^{100}+\left(x-y\right)^{102}=0\)

\(\Leftrightarrow\left\{{}\begin{matrix}\left(2x-10\right)^{100}=0\\\left(x-y\right)^{102}=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}2x-10=0\\x-y=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=5\\y=5\end{matrix}\right.\)

Vậy ....

4/ \(\left\{{}\begin{matrix}\left|2x+8\right|\ge0\\\left|y+x\right|\ge0\end{matrix}\right.\)

\(\left|2x+8\right|+\left|y+x\right|=0\)

\(\Leftrightarrow\left\{{}\begin{matrix}\left|2x+8\right|=0\\\left|y+x\right|=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}2x+8=0\\y+x=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=-8\\y=8\end{matrix}\right.\)

Vậy ..

5 tháng 4 2020

a/\(\left|x-1\right|=-10-3\)

\(\Leftrightarrow[\frac{x-1=-13}{x-1=13}\)

\(\Leftrightarrow[\frac{x=-13+1}{x=13+1}\)

\(\Leftrightarrow[\frac{x=-12}{x=14}\)

\(\Rightarrow x=\left\{-12;14\right\}\)

Vậy   \(x=\left\{-12;14\right\}\)

b/  \(\left|x\right|-1=?\)

c/   \(3^{2x-3}-2\times5^2=5^2\times3\)

\(9^{x-3}-2=3\)

\(9^x\div9^3-2=3\)

\(9^x\div9^3=5\)

\(9^x=5\times9^3\)

\(9^x=3645\)

\(\Rightarrow x\in\varnothing\)

Vậy  \(x\in\varnothing\)

d/   \(3^{2x-4}-x^0=8\)

\(9^x\div9^4-1=8\)( x0 =1 vì mọi lũy thừa mũ 0 đều bằng 1 )

\(9^x\div9^4=9\)

\(9^x=9\times9^4\)

\(9^x=9^5\)

\(x=5\)

Vậy \(x=5\)