tìm x , biết : x+30%x=-1.3
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x + 30%x = -1,3
x + \(\frac{30}{100}\)x = -1,3
x + 0,3x = -1,3
x.( 1 + 0,3 ) =-1,3
x.1,3 = -1,3
x = -1,3 : 1,3
x = -1
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30 : 5 / 35 : 5 = 40/x
5/6 = 40/x
5 x 8 / 6x 8 = 40/x
40/42 = 42/x
=> x = 42
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Nhận thấy:\(2019+1975-30-4=3960\)
Qua đó,ta biến đổi như sau.
Do \(\hept{\begin{cases}\left|x-2019\right|=\left|2019-x\right|\\\left|x-1975\right|=\left|1975-x\right|\end{cases}}\Rightarrow\hept{\begin{cases}\left|2019-x\right|+\left|1975-x\right|\ge\left|2019-x+1975-x\right|=\left|3994-2x\right|\\\left|x-30\right|+\left|x-4\right|\ge\left|x-30+x-4\right|=\left|2x-34\right|\end{cases}}\)
Dấu "=" xảy ra lần lượt là:\(\hept{\begin{cases}x< 1975;x< 2019\\x>30;x>4\end{cases}}\)
\(\Rightarrow\left|2019-x\right|+\left|1975-x\right|+\left|x-30\right|+\left|x-4\right|\ge\left|3994-2x+2x-34\right|=3960\)
Dấu "=" xảy ra khi và chỉ khi:\(30< x< 1975\)
\(\Rightarrow\left|2019-x\right|+\left|1975-x\right|+\left|x-30\right|+\left|x-4\right|+\left|x-44\right|\ge3960\)
Dấu "=" xảy ra khi và chỉ khi:\(\left|x-44\right|=0\Leftrightarrow x=44\)
Thử vào thấy thỏa mãn.
Vậy \(x=44\)
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\(2a=3b\Rightarrow\dfrac{a}{3}=\dfrac{b}{2}\Rightarrow\dfrac{a}{21}=\dfrac{b}{14}\\ 5b=7c\Rightarrow\dfrac{b}{7}=\dfrac{c}{5}\Rightarrow\dfrac{b}{14}=\dfrac{c}{10}\\ \Rightarrow\dfrac{a}{21}=\dfrac{b}{14}=\dfrac{c}{10}\)
Áp dụng t/c dtsbn:
\(\dfrac{a}{21}=\dfrac{b}{14}=\dfrac{c}{10}=\dfrac{3a}{63}=\dfrac{7b}{98}=\dfrac{5c}{50}=\dfrac{3a-7b+5c}{63-98+50}=\dfrac{-30}{15}=-2\\ \Rightarrow\left\{{}\begin{matrix}a=-42\\b=-28\\c=-20\end{matrix}\right.\)
\(x:y:z=3:4:5\Rightarrow\dfrac{x}{3}=\dfrac{y}{4}=\dfrac{z}{5}\)
Đặt \(\dfrac{x}{3}=\dfrac{y}{4}=\dfrac{z}{5}=k\Rightarrow x=3k;y=4k;z=5k\)
\(2x^2+2y^2-3z^2=-100\\ \Rightarrow18k^2+32k^2-75k^2=-100\\ \Rightarrow-25k^2=-100\Rightarrow k^2=4\Rightarrow\left[{}\begin{matrix}k=2\\k=-2\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=6;y=8;z=10\\x=-6;y=-8;z=-10\end{matrix}\right.\)
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a) x+(x+1)+(x+2)+(x+3)+...+(x+30)=1240
( x + x + x + x + ... + x ) + ( 1 + 2 + 3 +... + 30 ) = 1240
31x + 465 = 1240
31x = 1240 - 465
31x = 775
x = 775 : 31
x = 25
a) x+(x+1)+(x+2)+(x+3)+...+(x+30)=1240
( x + x + x + x + ... + x ) + ( 1 + 2 + 3 +... + 30 ) = 1240
31x + 465 = 1240
31x = 1240 - 465
31x = 775
x = 775 : 31
x = 25
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x + 30%x = -1,3
1,3x = -1,3
x= -1
\(x+30\%x=-1,3\)
\(\Leftrightarrow x+\frac{30}{100}x=-\frac{13}{10}\)
\(\Leftrightarrow x+\frac{3}{10}x=-\frac{13}{10}\)
\(\Leftrightarrow\left(\frac{3}{10}+1\right)x=-\frac{13}{10}\)
\(\frac{\Leftrightarrow13}{10}x=-\frac{13}{10}\)
\(\Leftrightarrow x=-\frac{13}{10}:\frac{13}{10}\)
\(\Leftrightarrow x=-1\)
Nhớ ấn đúng cko mình nghen :)