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\(\dfrac{3x-4}{4}=\dfrac{4x-8}{5}\)
\(\Leftrightarrow\dfrac{3x-4}{4}-\dfrac{4x-8}{5}=0\)
\(\Leftrightarrow\dfrac{5\left(3x-4\right)}{20}-\dfrac{4\left(4x-8\right)}{20}=0\)
\(\Leftrightarrow\dfrac{15x-20}{20}-\dfrac{16x-32}{20}=0\)
\(\Leftrightarrow\dfrac{15x-20-16x+32}{20}=0\)
\(\Leftrightarrow\dfrac{x-12}{20}=0\)
\(\Leftrightarrow x-12=0\)
\(\Leftrightarrow x=12\)
\(A=3x-x^2\)
\(=-\left(x^2-2.x.\frac{3}{2}+\left(\frac{3}{2}\right)^2-\frac{9}{4}\right)\)
\(=-\left(\left(x-\frac{3}{2}\right)^2-\frac{9}{4}\right)\)
\(=\frac{9}{4}-\left(x-\frac{3}{2}\right)^2\ge\frac{9}{4}\)
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
a) \(x+xy-y=8\)
\(\Leftrightarrow x.\left(1+y\right)-y=8\)
\(\Leftrightarrow x.\left(1+y\right)-y-1=8-1\)
\(\Leftrightarrow x.\left(1+y\right)-\left(1+y\right)=7\)
\(\Leftrightarrow\left(1+y\right).\left(x-1\right)=7\)
Lập bảng tìm tiếp
b) Ta có: \(\hept{\begin{cases}\left(x+2\right)^2\ge0\forall x\\\left(2y-6\right)^4\ge0\forall x\end{cases}}\)
\(\Rightarrow\left(x+2\right)^2+\left(2y-6\right)^4\ge0\forall x\)
Do đó \(\left(x+2\right)^2+\left(2y-6\right)^4=0\)
\(\Leftrightarrow\hept{\begin{cases}\left(x+2\right)^2=0\\\left(2y-6\right)^4=0\end{cases}\Leftrightarrow\hept{\begin{cases}x=-2\\y=3\end{cases}}}\)
Vậy ...
a) [ 3x-1] + 4x - 3 = 7
3x - 1 + 4x = 7 + 3 = 10
( 3 + 4 )x - 1 =10
7x - 1 = 10
7x=11
x=11/7
Câu tiếp theo làm tương tự nhé =))
) [ 3x-1] + 4x - 3 = 7
3x - 1 + 4x = 7 + 3 = 10
( 3 + 4 )x - 1 =10
7x - 1 = 10
7x=11
x=11/7
\(\left[{}\begin{matrix}\dfrac{1}{2}+2x=0\\2x-3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=-\dfrac{1}{2}\\2x=3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{4}\\x=\dfrac{3}{2}\end{matrix}\right.\)
5(x - 2) + 3x(2 - x) = 0
=> 5(x - 2) - 3x(x - 2) = 0
=> (5 - 3x)(x - 2) = 0
=> \(\orbr{\begin{cases}5-3x=0\\x-2=0\end{cases}}\)
=> \(\orbr{\begin{cases}3x=5\\x=2\end{cases}}\)
=> \(\orbr{\begin{cases}x=\frac{5}{3}\\x=2\end{cases}}\)
1/2(4x - 6) - 6(1/2x + 3) = 13
=> 2x - 3 - 3x - 18 = 13
=> -x - 21 = 13
=> -x = 13 + 21
=> -x = 34
=> x = -34
3(|x| - 2) - 5(3 - |x|) = 3
=> 3.|x| - 6 - 15 + 5|x| = 3
=> 8|x| - 21 = 3
=> 8.|x| = 3 + 21
=> 8.|x| = 24
=> |x| = 24 : 8
=> |x| = 3
=> x = 3 hoặc x = -3
x2+5.x=0
x.x+5.x=0
x.(x+5)=0
*x=0
*x+5=0
x=0-5
x=-5
Vậy x=0 hoặc x=-5
\(-\frac{1}{4}x+\frac{3}{2}x-\frac{2}{3}x+6=\)\(0\)
\(\Rightarrow\)\(-\frac{1}{4}x+\frac{3}{2}x-\frac{2}{3}x\)\(=-6\)
\(\Rightarrow\)\(x\left(-\frac{1}{4}+\frac{3}{2}-\frac{2}{3}\right)\)\(=-6\)
\(\Rightarrow\)\(x.\frac{7}{12}\)\(=-6\)
\(\Rightarrow\)\(x\)\(=-\frac{72}{7}\)
\(\text{Học tốt!!!}\)