a: 5x+2>3x-1
=>5x-3x>-1-2
=>2x>-3
hay x>-3/2
b: \(\dfrac{3}{4}x-\dfrac{1}{2}>\dfrac{1}{2}x+\dfrac{3}{4}\)
=>3/4x-1/2x>3/4+1/2
=>1/2x>5/4
hay x>5/4:1/2=5/2
c: (x-2)(x-3)>0
=>x-3>0 hoặc x-2<0
=>x>3 hoặc x<2
d: (2x+4)(x-5)<0
=>(x+2)(x-5)<0
=>-2<x<5
Bai 1: Tim x
a) \(|\text{x-1|+|2x+4|=3}\)
b) \(|x+\dfrac{1}{3}|=|3x-\dfrac{5}{6}|\)
c) 4x.\(\left(x+\dfrac{1}{2}\right)=0\)
d) 3x.(x+2)-5(x+2)=0
Tìm x ,biết
a,\(\dfrac{1}{3}-\dfrac{2}{5}+3x=\dfrac{3}{4}\)
b,\(\dfrac{3}{2}-1+4x=\dfrac{2}{3}-7x\)
c,\(2.\left(\dfrac{3}{4}-5x\right)=\dfrac{4}{5}-3x\)
d, \(4.\left(\dfrac{1}{2}-x\right)-5.\left(x-\dfrac{3}{10}\right)=\dfrac{7}{4}\)
a, 4(5x-3)-3(2x+1)=9
b, |x-9|=2x+5
c, \(\dfrac{2}{x-3}+\dfrac{3}{x+3}=\dfrac{3x+5}{x^2-9}\)
tìm x , biết :
a, \(\dfrac{37-x}{2x+5}=\dfrac{4}{9}\)
b, \(\dfrac{x-2}{x-1}=\dfrac{x+4}{x+7}\)
c, \(\dfrac{x+3}{25}=\dfrac{9}{x+3}\)
d, \(\dfrac{x}{\dfrac{-2}{3}}=\dfrac{5}{-x}\)
e, \(\dfrac{2x-5}{\dfrac{3}{2}}=\dfrac{\dfrac{-27}{8}}{5-2x}\)
f, \(\dfrac{\dfrac{5}{9}}{\left(3x-1\right)^2}=\dfrac{1-2x}{\dfrac{25}{3}}\)
Bài 4: Tìm x,y nguyên biết
b,xy+3x-y=6
c,x-2xy+y-3=0
d,\(2x+\dfrac{1}{7}\)=\(\dfrac{1}{y}\)
Bài 5: Cho :\(\dfrac{2a+b+c+d}{a}+\dfrac{2b+c+d+a}{b}+\dfrac{2c+a+b+d}{c}+\dfrac{2d+c+b+a}{d}\)
Tính M=\(\dfrac{a+b}{c+d}+\dfrac{b+c}{d+a}+\dfrac{c+d}{a+b}+\dfrac{d+a}{b+c}\)
Bài 6 : Tìm x,y biết:
a,\(\dfrac{x}{2}=\dfrac{y}{4}\) và \(x^2y^2=2\)
b,4x=7y và \(x^2+y^2=260\)
Bài 7:Tìm x biết:
a,\(\left|x=2020\right|+\left|x-2018\right|=2019\)
b,\(\dfrac{1}{4}.\dfrac{2}{6}.\dfrac{3}{8}.\dfrac{4}{10}.\dfrac{5}{12}...\dfrac{30}{62}.\dfrac{31}{64}=2^x\)
Bài 8: Cho \(\dfrac{x}{2}=\dfrac{y}{3};\dfrac{y}{4}=\dfrac{\text{z}}{5}\)
Tính M=\(\dfrac{2x+3y-\text{z}}{5x-4y+3\text{z}}\)
Bài 9: Tìm GTNN
A=\(2x^2+2y^2+2xy-14x-16y-2056\)
Bài 1:Tìm x,biết:
a.\(\dfrac{11}{12}\)-\(\left(\dfrac{2}{5}+x\right)\)=\(\dfrac{2}{3}\)
b.\(2\dfrac{3}{4}x=3\dfrac{1}{7}:\left(0,01\right)\)
c.2x . (x-\(\dfrac{1}{7}\)) = 0
d.3,8 : 2x = \(\dfrac{1}{4}:2\dfrac{2}{3}\)
2. Tìm x:
A, \(\dfrac{5}{2}\)*x-\(\dfrac{1}{3}\)*X+2=\(\dfrac{3}{2}\) B, (2X-1)^2=\(\dfrac{1}{4}\)
C, ( X^2-16)*(4-5*X)=0 D, \(\dfrac{2\cdot X-1}{3}\)=\(\dfrac{X+2}{3}\)
Tìm x, biết:
a) x(1 - 3x) (2x + 4) \(\ge\) 0
b. \(\dfrac{2x+3}{3-x}\le0\)
c. \(\dfrac{x+5}{3+x}>1\)
d. (x2-1)(x2-4)(x2-7)(x2-10) < 0 khi x \(\in\) Z
1+Tìm x thuộc N biết \(\left(x-3\right)^6=\left(x-3\right)^7\)
+Tìm x biết
a,\(|2\dfrac{1}{5}-x|+|x-\dfrac{1}{5}|+8\dfrac{1}{5}=1,2\)b, B=\(|x+1|+|3x-4|+|x-1|+5\)
2.Tìm 3 số x,y,z biết
6x=4x=3z và 2x + 3y -5z = -21
3, Độ dài 3 cạnh của 1 tam giác tỉ lệ vs 2,3,4. Ba chiều cao tương ứng vs 3 cạnh tỉ lệ vs 3 số nào
4, Tìm phân số có tử số bằng 7, lớn hơn \(\dfrac{10}{13}\) và nhỏ hơn \(\dfrac{10}{11}\)
5,A=\(|\dfrac{4}{9}-\dfrac{2}{4}|+|0,\left(4\right)+\dfrac{\dfrac{1}{3}-\dfrac{2}{5}-\dfrac{3}{7}}{\dfrac{2}{3}-\dfrac{4}{5}-\dfrac{6}{7}}|\)
