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a) x - 1/2 = 3/5
x = 3/5 + 1/2
x = 11/10
b) x - 1/2 = -2/3
x = -2/3 + 1/2
x = -1/6
c) 2/5 - x = 0,25
x = 2/5 - 0,25
x = 2/5 - 1/4
x = 3/20
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câu a/
-10-(x-5)+(3-x)=-8
-10-x+5+3-x=-8
-2x=-8-3-5+10
-2x=-6
x=3
câu b/
10+3(x-1)=10+6x
10+3x-3=10+6x
3x-6x=10+3-10
-3x=3
x=-1
-10 -(x-5) + (3-x)=-8\(\Rightarrow\)(3-x)-(x-5)=2\(\Rightarrow\)
3-x-x+5=2\(\Rightarrow\)-2x+8=2\(\Rightarrow\)-2x=-6\(\Rightarrow\)x=-6:-2\(\Rightarrow\)x=3
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1) 10 - [ 20 - ( 6 - 8) ]
= 10 - [ 20 - (-2) ]
= 10 - 22
= -12
2)
5 - l x - 2 l = 3
\(=>\orbr{\begin{cases}5-x-2=3\\5-x-2=-3\end{cases}}\)
\(=>\orbr{\begin{cases}5-x=3+2\\5-x=\left(-3\right)+2\end{cases}}\)
\(=>\orbr{\begin{cases}5-x=5\\5-x=-1\end{cases}}\)
\(=>\orbr{\begin{cases}x=5+5=10\\x=\left(-1\right)+5=4\end{cases}}\)
\(=>\orbr{\begin{cases}x=10\\x=4\end{cases}}\)
b) \(\left(x-1\right)^2+2=11\)
\(\left(x-1\right)^2=11-2=9\)
\(=>x-1=3\)
\(=>x=3+1\)
\(=>x=4\)
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x(x + 3) = 0
=> \(\orbr{\begin{cases}x=0\\x+3=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=0\\x=0-3\end{cases}}\)
=> \(\orbr{\begin{cases}x=0\\x=-3\end{cases}}\)
(x - 2) (5 - x) = 0
=> \(\orbr{\begin{cases}x-2=0\\5-x=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=0+2\\x=5-0\end{cases}}\)
=> \(\orbr{\begin{cases}x=2\\x=5\end{cases}}\)
(x - 1) (x2 + 1) = 0
=> \(\orbr{\begin{cases}x-1=0\\x^2+1=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=0+1\\x^2=0-1\end{cases}}\)
=> \(\orbr{\begin{cases}x=1\\x^2=-1\end{cases}}\)
=> \(\orbr{\begin{cases}x=1\\x=-1\end{cases}}\)
x(x+3) = 0
→ x = 0
hoặc x + 3 = 0
⇒ x = 0
hoặc x = -3
Vậy x ∈ { 0 ; -3 }
( x -2 ) ( 5 -x ) = 0
⇒ x - 2 = 0
hoặc 5 - x = 0
⇒ x = 2
hoặc x= 5
Vậy x∈ { 2 ; 5 }
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\(\frac{2}{x}=\frac{y}{15}=\frac{\left(-25\right)}{75}\)
\(\Rightarrow\frac{y}{15}=\frac{\left(-1\right)}{3}\)
\(\frac{y}{15}=\frac{\left(-5\right)}{15}\)
\(\Rightarrow15y=15\times\left(-5\right)\)
\(15y=\left(-75\right)\)
\(y=\left(-75\right)\div15\)
\(y=\left(-5\right)\)
\(\Rightarrow\frac{2}{x}=\frac{\left(-5\right)}{15}\)
\(\frac{2}{x}=\frac{\left(-1\right)}{3}\)
\(\Rightarrow-x=3\times2\)
\(-x=6\)
\(x=\left(-6\right)\)
\(V\text{ậy}x=\left(-6\right);y=\left(-5\right)\)
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\(A=3x-x^2\)
\(=-\left(x^2-2.x.\frac{3}{2}+\left(\frac{3}{2}\right)^2-\frac{9}{4}\right)\)
\(=-\left(\left(x-\frac{3}{2}\right)^2-\frac{9}{4}\right)\)
\(=\frac{9}{4}-\left(x-\frac{3}{2}\right)^2\ge\frac{9}{4}\)
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
\(3+\left(x-1\right)^2=19\)
\(\left(x+1\right)^2=19-3\)
\(\left(x+1\right)^2=16\)
\(\left(x+1\right)^2=4^2\)
\(\Rightarrow x+1=4\)
\(x=4-1\)
\(x=3\)