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a) Đặt \(A=|x-2|-12\)
Ta có: \(|x-2|\ge0\forall x\)
\(\Rightarrow|x-2|-12\ge0-12\)
Hay \(A\ge-12\)
Dấu "=" xảy ra \(\Leftrightarrow x-2=0\)
\(\Leftrightarrow x=2\)
Vậy Min A =-12 \(\Leftrightarrow x=2\)
\(25\%.y+50\%.y-\frac{3}{4}.y+4.y=10\)
\(y.\left(\frac{1}{4}+\frac{1}{2}-\frac{3}{4}+4\right)=10\)
\(y.4=10\)
\(y=\frac{5}{2}\)
\(x.\frac{1}{4}-\frac{3}{4}=6:\frac{3}{4}\)
\(x.\frac{1}{4}-\frac{3}{4}=6.\frac{4}{3}\)
\(x.\frac{1}{4}=8+\frac{3}{4}\)
\(x.\frac{1}{4}=\frac{35}{4}\)
\(x=\frac{35}{4}:\frac{1}{4}\)
\(x=35\)
25% x y + 50% x y - 3/4 x y + 4 x y = 10
1/4 x y + 1/2 x y - 3/4 x y + 4 x y = 10
y x ( 1/4 + 1/2 - 3/4 + 4 ) = 10
y x 4 = 10
y = 10 : 4
y = 2.5
Tìm \(x\) câu a:
\(\frac13.x\) + \(\frac25.\left(x+1\right)\) = 0
\(\frac{5}{15}x\) + \(\frac{6}{15}x\) + \(\frac25\) = 0
\(\frac{11}{15}x\) = - \(\frac25\)
\(x=-\frac25:\frac{11}{15}\)
\(x\) = - \(\frac25\times\frac{15}{11}\)
\(x\) = - \(\frac{6}{11}\)
Vậy \(x=-\frac{6}{11}\)
Tìm \(x\) câu b:
\(x\) x 25% = 0,5
\(x\times0,25\) = 0,5
\(x=0,5:0,25\)
\(x=2\)
Vậy \(x=2\)
Câu 1a:
1/3x + 2/5(x + 1) = 0
1/3x + 2/5x + 2/5 = 0
1/3x + 2/5x = - 2/5
x(1/3 + 2/5) = -2/5
x.(5/15 + 6/15) = -2/5
x.11/15 = - 2/5
x = - 2/5 : 11/15
x = - 6/11
Vậy x = -6/11
Câu b:
x . 25%. x = 0,5
x.x = 0,5 : 25%
x^2 = 2
x = - \(\sqrt2\); x = \(\sqrt2\)
Vậy x ∈ {- \(\sqrt2\); \(\sqrt2\) )
Câu 1a:
1/3x + 2/5(x + 1) = 0
1/3x + 2/5x + 2/5 = 0
1/3x + 2/5x = - 2/5
x(1/3 + 2/5) = -2/5
x.(5/15 + 6/15) = -2/5
x.11/15 = - 2/5
x = - 2/5 : 11/15
x = - 6/11
Vậy x = -6/11
Câu b:
x . 25%. x = 0,5
x.x = 0,5 : 25%
x^2 = 2
x = - \(\sqrt2\); x = \(\sqrt2\)
Vậy x ∈ {- \(\sqrt2\); \(\sqrt2\) )
\(\dfrac{-4}{x}=\dfrac{3}{y}=\dfrac{-1}{2}\\ \Rightarrow\left\{{}\begin{matrix}x=\dfrac{2\cdot\left(-4\right)}{-1}=8\\y=\dfrac{3\cdot2}{-1}=-6\end{matrix}\right.\)
\(\dfrac{-4}{x}=\dfrac{3}{y}=\dfrac{-1}{2}\)
*) \(\dfrac{-4}{x}=\dfrac{-1}{2}\)
\(x=\dfrac{-4.2}{-1}=8\)
*) \(\dfrac{3}{y}=\dfrac{-1}{2}\)
\(y=\dfrac{3.2}{-1}=-6\)
Vậy \(x=8;y-6\)