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\(32^n+16^n=1024\)
\(\Leftrightarrow\left(2^5\right)^n+\left(2^4\right)^n=2^{10}\)
\(\Leftrightarrow2^{5n}.2^{4n}=2^{10}\)
\(\Leftrightarrow2^{4n+5n}=2^{10}\)
\(\Leftrightarrow9n=10\Leftrightarrow n=\frac{10}{9}\)
(x+12)(x-3)=x
X2-3x+12x-36=X
X(x-3+12-1)=36
X(X+8)=36
..........(Tự làm nhé..........)
\(A=3x-x^2\)
\(=-\left(x^2-2.x.\frac{3}{2}+\left(\frac{3}{2}\right)^2-\frac{9}{4}\right)\)
\(=-\left(\left(x-\frac{3}{2}\right)^2-\frac{9}{4}\right)\)
\(=\frac{9}{4}-\left(x-\frac{3}{2}\right)^2\ge\frac{9}{4}\)
Min A = \(\frac{9}{4}\)khi \(x-\frac{3}{2}=0=>x=\frac{3}{2}\)
\(B=25+2x-x^2\)
\(=-\left(x^2-2x+1-26\right)\)
\(=-\left(\left(x-1\right)^2-26\right)\)
\(=26-\left(x-1\right)^2\ge26\)
Min A = 26 khi \(x-1=0=>x=1\)
\(C=x^2-5x+19\)
\(=x^2-2.x.\frac{5}{2}+\left(\frac{5}{2}\right)^2+\frac{51}{4}\)
\(=\left(x+\frac{5}{2}\right)^2+\frac{51}{4}\ge\frac{51}{4}\)
Min C = \(\frac{51}{4}\)khi \(x+\frac{5}{2}=0=>x=\frac{-5}{2}\)
@@@ nha các bạn . Thanks
Tìm x, biết
\(2.3^x=3^{12}.10+8.12^{12}\)
NHANH GIÚP MÌNH NHA, MÌNH ĐANG CẦN GẤP
NẾU ĐÚNG MÌNH TICK CHO
<=> |x+2| = 13
<=> \(\orbr{\begin{cases}x+2=13\\x+2=-13\end{cases}\Rightarrow}\orbr{\begin{cases}x=11\\x=-15\end{cases}}\)
Vậy.........
hok tốt
..........
\(|x+2|=12+\left(-3\right)+\left|-4\right|\)
\(|x+2|=12-3+4\)
\(\left|x+2\right|=13\)
\(\Rightarrow x\in\left\{-15;11\right\}\)
( x + 3 ) / 5 = ( x - 4 ) / 10
=> ( x + 3 ) . 10 = ( x - 4 ) . 5
=> 10x + 30 = 5x - 20
=> 10x + 30 + 20 = 5x
=> 10x + 50 = 5x
=> 5x - 10x = 50
=> -5x = 50
=> x = 50 : -5
=> x = -10
Chắc 100%
`(12-5x)^10 = 1024`
`(12-5x)^10 =` \(\left(\pm2\right)^{10}\)
`@TH1:`
`12-5x=2`
`5x=12-2`
`5x=10`
`x=10:5`
`x=2`
`@TH2:`
`12-5x=-2`
`5x=12-(-2)`
`5x=12+2`
`5x=14`
`x=14:5`
`x=14/5`
Vậy `x = {14/5 ;2}`
\(\left(12-5x\right)^{10}=1024\)
\(\left(12-5x\right)^{10}=\pm2^{10}\)
GĐ 1:
\(\left(12-5x\right)^{10}=2^{10}\)
\(12-5x=2\)
\(5x=12-2\)
\(5x=10\)
\(x=10:5\)
\(x=2\)
GĐ 2:
\(\left(12-5x\right)^{10}=\left(-2\right)^{10}\)
\(12-5x=-2\)
\(5x=12-\left(-2\right)\)
\(5x=14\)
\(x=14:5\)
\(x=2,8\)