=>-1/2x+2/3=28/15:(-5/7)=-196/75
=>-1/2x=-82/25
=>x=164/25
=>-1/2x+2/3=28/15:(-5/7)=-196/75
=>-1/2x=-82/25
=>x=164/25
\(\dfrac{5+x}{4-x}=\dfrac{1}{2}\)
\(\dfrac{25}{14}=\dfrac{x+7}{x-4}\)
\(\dfrac{3x-5}{x+4}=\dfrac{5}{2}\)
\(\dfrac{3x-1}{2x+1}=\dfrac{3}{7}\)
Tìm x, y, z biết rằng:
a) \(\dfrac{x-1}{2}=\dfrac{y-2}{3}=\dfrac{z-3}{4}\) và 2x + 3y - z = 50
b) \(\dfrac{y+z+1}{x}=\dfrac{z+x+2}{y}=\dfrac{x+y-3}{z}=\dfrac{1}{x+y+z}\)
c) 10x = 6y và \(2x^2-y^2=-28\)
Tinh
\(\dfrac{0,4-\dfrac{2}{9}+\dfrac{2}{11}}{1,4-\dfrac{7}{9}+\dfrac{7}{11}}-\dfrac{\dfrac{1}{3}-0.25+\dfrac{1}{5}}{1\dfrac{1}{6}-0,875+0,7}\)
Rút gọn các biểu thức sau:
* A = \(\dfrac{x+4\sqrt{x}-2}{x+\sqrt{x}-2}-\dfrac{\sqrt{x}+1}{\sqrt{x}+2}-\dfrac{\sqrt{x}-2}{\sqrt{x}}.\left(\dfrac{1}{1-\sqrt{x}}-1\right)\)
* B = \(\dfrac{x\sqrt{x}+26\sqrt{x}-19}{x+2\sqrt{x}-3}-\dfrac{2\sqrt{x}}{\sqrt{x}-1}+\dfrac{\sqrt{x}-3}{\sqrt{x}+3}\)
1) Cho \(\dfrac{x}{3}=\dfrac{y}{2}\) và x.\(y^2\)=324. Tìm x,y
2) Tìm các số tự nhiên x,y bik \(2^{x+1}.3^y=4^x.3^x\)
3) CMR nếu có tỉ lệ thức \(\dfrac{a}{b}=\dfrac{c}{d}\) thì ta có \(\left(\dfrac{a-b}{c-d}\right)^4=\dfrac{a^4+b^4}{c^4+d^4}\)
4) Tính: B=\(\dfrac{27^{15}.5^3.8^4}{25^2.81^{11}.2^{11}}\)
Tính giá trị của các biểu thức sau
1) \(A=1+2+2^2+...+2^{2015}\)
2) \(B=\left(\dfrac{1}{4}-1\right)\cdot\left(\dfrac{1}{9}-1\right)\cdot\left(\dfrac{1}{16}-1\right)\cdot\cdot\cdot\cdot\cdot\left(\dfrac{1}{400}-1\right)\)
3) \(C=\left(\dfrac{1}{4\cdot9}+\dfrac{1}{9\cdot14}+\dfrac{1}{14\cdot19}+...+\dfrac{1}{44\cdot49}\right)\cdot\dfrac{1-3-5-7-...-49}{89}\)
4) \(D=\dfrac{2^{12}\cdot3^5-4^6\cdot9^2}{\left(2^2\cdot3\right)^6+8^4\cdot3^5}-\dfrac{5^{10}\cdot7^3-25^5\cdot49^2}{\left(125\cdot7\right)^3+5^9\cdot14^3}\)
5) \(E=\dfrac{\dfrac{1}{2003}+\dfrac{1}{2004}-\dfrac{1}{2005}}{\dfrac{5}{2003}+\dfrac{5}{2004}-\dfrac{5}{2005}}-\dfrac{\dfrac{2}{2002}+\dfrac{2}{2003}-\dfrac{2}{2004}}{\dfrac{3}{2002}+\dfrac{3}{2003}-\dfrac{3}{2004}}\)
6) Cho 13+23+...+103=3025
Tính S= 23+43+63+...+203
giúp mình
1, tìm x
a, \(\dfrac{3}{5}\div x-\dfrac{1}{3}=\dfrac{4}{6}\)
b, \(\dfrac{x}{2}=\dfrac{-y}{4}=\dfrac{Z}{5}\) VÀ \(x-2y+3z=1200\)
Tìm x, biết
\(\dfrac{x-1}{x-5}=\dfrac{6}{7}\)
\(\dfrac{-9}{46}\)-4\(\dfrac{1}{23}\):(3\(\dfrac{1}{4}\)-x:\(\dfrac{3}{5}\))+2\(\dfrac{8}{23}\)=1