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\(\dfrac{1}{4}+\dfrac{1}{3}\times X=\dfrac{1}{2}\\ \dfrac{1}{3}\times X=\dfrac{1}{2}-\dfrac{1}{4}=\dfrac{1}{4}\\ X=\dfrac{1}{4}:\dfrac{1}{3}=\dfrac{1}{4}\times3=\dfrac{3}{4}\)
\(A=\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+...+\dfrac{1}{420}\\ \Rightarrow A=\dfrac{1}{2\times3}+\dfrac{1}{3\times4}+...+\dfrac{1}{20\times21}\\ \Rightarrow A=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{20}-\dfrac{1}{21}\\\Rightarrow A=\dfrac{1}{2}-\dfrac{1}{20}=\dfrac{9}{20}\)
Sau khi rút gọn phải còn:
\(A=\dfrac{1}{2}-\dfrac{1}{21}\) (chứ anh)
\(A=\dfrac{19}{42}\)
\(X+X:0,5=27\)
\(\Rightarrow X\left(1+\dfrac{1}{0,5}\right)=27\)
\(\Rightarrow X\left(1+2\right)=27\)
\(\Rightarrow3X=27\Rightarrow X=27:3=9\)
\(\dfrac{3}{4}\times X-1=\dfrac{1}{2}\times X\\ \dfrac{3}{4}\times X-\dfrac{1}{2}\times X=1\\ \left(\dfrac{3}{4}-\dfrac{1}{2}\right)\times X=1\\ \dfrac{1}{4}\times X=1\\ X=1:\dfrac{1}{4}\\ X=4\)
\(\dfrac{3}{4}\times x-1=\dfrac{1}{2}\times x\\ \dfrac{3}{4}\times x-\dfrac{1}{2}\times x=1\\ x\times\left(\dfrac{3}{4}-\dfrac{1}{2}\right)=1\\ x\times\dfrac{1}{4}=1\\ x=1:\dfrac{1}{4}\\x=4\)
D=1/1.5+1/5.9+...+1/41.45
4D=4/1.5+4/5.9+...+4/41.45
4D=1-1/5+1/5-1/9+...+1/41-1/45
4D=1-1/45
D=44/45:4=11/45
\(2\times x\times20+15\times20-45\times20=200\)
\(40\times x+300-900=200\)
\(40\times x=200+900-300\)
\(40\times x=800\)
\(x=800:40\)
\(x=20\)
\(2.x.20+15.20-45.20=200\)
\(40.x+300-900=200\)
\(40.x=200+900-300\)
\(40.x=800\)
\(x=800:40\)
\(x=20\)
\(\frac{x}{5}=\frac{20}{x}\)
Ta có :
x . x = 20 . 5
x2 = 100
=> x = 10 hoặc x = -10
3 x X + X = 20
(3+1) x X =20
4 x X = 20
X= 20:4
X=5
x = 5