4) \(\dfrac{x-\sqrt{x}}{1-\sqrt{2\left(x^2-x+1\right)}}\ge1\)
5)\(x^2+x+1>3\sqrt{x}\left(x+1\right)\)
6)\(\dfrac{1}{1-x^2}>\dfrac{3x}{\sqrt{1-x^2}}-1\)
nữa ạ
bài 1 :
A = / x +1 / + / x - 5 / ; B = / x - 2 / + / x - 6 / + 5 ; C = / 2 x - 4 / + / 2x + 1 /
Tinh bang cahc thuan tien
5 x 12 x 3 x 7 / 3x8x7x5
2 x 5 x 4 x 6 / 4 x 3 x 5 x 7 =
Tìm GTLN của \(f\left(x\right)=\left(5+x\right)\left(x-6\right),\forall x\in\left[-5;6\right]\)
Tìm GTNN của \(g\left(x\right)=x^2+\frac{4}{x-2},\forall x>2\)
giải các bất phương trình sau:
1) (x-2)(9-x2)≤0
2) (x2-x-6)(x2-3x+2)≥0
3) \(\frac{\left(x-2\right)\left(9-x\right)}{x-1}\)≤0
4) \(\frac{x\left(x^2-3x+2\right)}{x+4}\)≥0
5) \(\frac{\left(x+2\right)}{\left(x+1\right)\left(x-2\right)}\)<0
6) \(\frac{\left(x-2\right)\left(9-x^2\right)}{x-1}\)≥0
7) \(\frac{x^2\left(x-3\right)}{3x^2+x-4}\)≥0
8) \(\frac{x^2-3x+2}{9-x}\)≥0
9) \(\frac{x^2+1}{x^2+3x-10}\)≤0
10) \(\frac{x^2-9x+14}{x^2+9x+14}\)≥0
tìm x,y biết X^3 + Y^3= 6, XY=2