X+X+X+X x 97 = 12300
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x : 12 + x . 12 + x : 12 . 5 = 12300
x . 1/12 + x . 12 + x . 5/12 = 12300
x . 1/2 + x . 12 = 12300
x . 25/2 = 12300
x = 12300 : 25/2
x = 984
Vậy x = 984.

y x 45 + y x 55 = 12300
y x ( 45 + 55 ) = 12300
y x 100 = 12300
y = 12300 : 100
y = 123

\(\Leftrightarrow\left(\dfrac{x-1}{99}-1\right)+\left(\dfrac{x-99}{1}-1\right)+\left(\dfrac{x-3}{97}-1\right)+\left(\dfrac{x-97}{3}-1\right)+\left(\dfrac{x-5}{95}-1\right)+\left(\dfrac{x-95}{5}-1\right)=0\)
=>x-100=0
=>x=100


\(x\left(17+97-14\right)=32,5\Leftrightarrow100x=32,5\Leftrightarrow x=0,325\)

a: 78x(x-97)-x+97=0
=>(x-97)(78x-1)=0
=>\(\left[{}\begin{matrix}x=97\\x=\dfrac{1}{78}\end{matrix}\right.\)
b: \(\dfrac{2}{3}x\left(x^2-4\right)=0\)
=>\(x\left(x-2\right)\left(x+2\right)=0\)
=>\(\left[{}\begin{matrix}x=0\\x=2\\x=-2\end{matrix}\right.\)
c: \(\left(x+2\right)^2-\left(x-2\right)\left(x+2\right)=0\)
=>\(x^2+4x+4-x^2+4=0\)
=>4x+8=0
=>x+2=0
=>x=-2
\(a,78x\left(x-97\right)-x+97=0\)
\(\Leftrightarrow78x\left(x-97\right)-\left(x-97\right)=0\)
\(\Leftrightarrow\left(x-97\right)\left(78x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-97=0\\78x-1=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=97\\x=\dfrac{1}{78}\end{matrix}\right.\)
\(b,\dfrac{2}{3}x\left(x^2-4\right)=0\)
\(\Leftrightarrow\dfrac{2}{3}x\left(x-2\right)\left(x+2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{2}{3}x=0\\x-2=0\\x+2=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=2\\x=-2\end{matrix}\right.\)
\(c,\left(x+2\right)^2-\left(x-2\right)\left(x+2\right)=0\)
\(\Leftrightarrow\left(x+2\right)\left[\left(x+2\right)-\left(x-2\right)\right]=0\)
\(\Leftrightarrow\left(x+2\right)\left(x+2-x+2\right)=0\)
\(\Leftrightarrow\left(x+2\right)\cdot4=0\)
\(\Leftrightarrow x+2=0\)
\(\Leftrightarrow x=-2\)
\(x+x+x+x\times97=12300\)
\(x\times1+x\times1+x\times1+x\times97=12300\)
\(x\times\left(1+1+1+97\right)=12300\)
\(x\times100=12300\)
\(x=12300:100\)
\(x=123\)
X + X + X + X x 97 = 12300
X x 1 + X x 1 + X x 1 + X x 97 = 12300
X x (1 + 1 + 1 + 97) = 12300
X x 100 = 12300
X = 12300 : 100
X = 123