Bài 4: Bất phương trình bậc nhất một ẩn.
Các câu hỏi tương tự
\(\dfrac{\left(3x-2\right)^2}{3}-\dfrac{\left(2x+1\right)^2}{3}\le x\left(x+1\right)\)
\(\text{Cho A=}\dfrac{x-2014}{\left(\dfrac{x-2}{x+1}-\dfrac{x+1}{x-2}\right):\left(\dfrac{x-2}{x+1}+\dfrac{x+1}{x-2}\right)}\)
\(\text{Tìm x để A}\ge0\)
1.
\(\dfrac{2x}{x+1}=\dfrac{x^2-x+4}{\left(x-1\right)\left(x-4\right)}\)
bài 3: giải phương trình
a) \(\dfrac{5x-7
}{3}=\dfrac{5-3x}{2}\)
b) \(\dfrac{10x+3}{12}=1+\dfrac{6+8x}{9}\)
c) \(\dfrac{7x-1}{6}+2x=\dfrac{16-x}{5}\)
d) \(4\left(0,5-1,5x\right)=-\dfrac{5x-6}{3}\)
bài 1 giải BPT
\(\left(x-5\right)^{2^{ }}-x\left(x-2\right)\le4\)
\(\dfrac{x-3}{4}-\dfrac{x-1}{5}< 2\)
\(3-\dfrac{x-4}{2}>x-3\)
a.left|3xright|x+7
b.left|-4xright|-2x+11
c.left|5xright|3x+4
d.left|3xright|-x-40
e.|9-left|-5xright|+2x0
f.left|x-9right|2x+5
g.left|6-xright|2x-3
h.left|2x+1right|6x+2
i.left|4xright|2x+12
j.left|4-xright|2x+1
Đọc tiếp
a.\(\left|3x\right|=x+7\)
b.\(\left|-4x\right|=-2x+11\)
c.\(\left|5x\right|=3x+4\)
d.\(\left|3x\right|-x-4=0\)
e.\(|9-\left|-5x\right|+2x=0\)
f.\(\left|x-9\right|=2x+5\)
g.\(\left|6-x\right|=2x-3\)
h.\(\left|2x+1\right|=6x+2\)
i.\(\left|4x\right|=2x+12\)
j.\(\left|4-x\right|=2x+1\)
Giải các bất phương trình :
a) \(\left(x+2\right)^2< 2x\left(x+2\right)+4\)
b) \(\left(x+2\right)\left(x+4\right)>\left(x-2\right)\left(x+8\right)+26\)
Giải các phương trình :
a) \(\left(x-1\right)^2< x\left(x+3\right)\)
b) \(\left(x-2\right)\left(x+2\right)>x\left(x-4\right)\)
c) \(2x+3< 6-\left(3-4x\right)\)
d) \(-2-7x>\left(3+2x\right)-\left(5-6x\right)\)
Cho a, b, c thuộc R. CM:
1, ableleft(dfrac{a+b}{2}right)^2ledfrac{a^2+b^2}{2}
2, dfrac{a^3+b^3}{2}geleft(dfrac{a+b}{2}right)^3
3, a^4+b^4ge a^3b+ab^3
4, a^4+3ge4a
5, a^3+b^3+c^3ge3abcleft(a,b,c0right)
6, a^4+b^4ledfrac{a^2}{b^2}+dfrac{b^2}{a^2}left(a,bne0right)
7, dfrac{1}{1+a^2}+dfrac{1}{1+b^2}gedfrac{2}{1+ab}left(a,bge1right)
8, left(a^5+b^5right)left(a+bright)geleft(a^4+b^4right)left(a^2+b^2right)
Đọc tiếp
Cho a, b, c thuộc R. CM:
1, \(ab\le\left(\dfrac{a+b}{2}\right)^2\le\dfrac{a^2+b^2}{2}\)
2, \(\dfrac{a^3+b^3}{2}\ge\left(\dfrac{a+b}{2}\right)^3\)
3, \(a^4+b^4\ge a^3b+ab^3\)
4, \(a^4+3\ge4a\)
5, \(a^3+b^3+c^3\ge3abc\left(a,b,c>0\right)\)
6, \(a^4+b^4\le\dfrac{a^2}{b^2}+\dfrac{b^2}{a^2}\left(a,b\ne0\right)\)
7, \(\dfrac{1}{1+a^2}+\dfrac{1}{1+b^2}\ge\dfrac{2}{1+ab}\left(a,b\ge1\right)\)
8, \(\left(a^5+b^5\right)\left(a+b\right)\ge\left(a^4+b^4\right)\left(a^2+b^2\right)\)