Cho x>1 và y>0. CM  

\(\frac{1}{\left(x-1\right)^3}+\left(\frac{x-1}{y}\right)^3+\frac{1}{y^3}\ge3\left(\frac{3-2x}{x-1}+\frac{x}{y}\right)\)

Cho x + y = 1 và xy = 0

CM: x/y^3-1 + y/x^3-1 + 2(x-y)/x^2y^2+3 =0

|x-3| + |y-2x | =0
|x| + 3|2x -x ² | =0
|5x ² -5 | + 4|y-7 | =0
||x +1 | + |y-5 |=0
|x ² -1| + |y-1| =0
|x-1 | +|x ²-x |=0

|x-3| + |y-2x | =0         |x| + 3|2x -x ² | =0          |5x ² -5 | + 4|y-7 | =0                     ||x +1 | + |y-5 |=0         |x ² -1| + |y-1| =0          |x-1 | +|x ²-x |=0

1)Tìm x,y thuoc Z thoa man dong thoi

x^3+y^3=1  x^7+y^7=x^4+y^4

2)Cho A=y^5 - 5y^3 +4y y thuoc Z

CM nếu y ko chia hết 3 thì A chia hết 360

3)Tìm P(x) bậc 4 thỏa mãn

P(-1)=0 , P(x)-P(x-1)=x*(x+1)*(2x+1) voi x thuoc R 

cho  x,  y >1 cm

\(\frac{1}{\left(x-1\right)^3}+\frac{\left(x-1\right)^3}{y^3}+\frac{1}{y^3}\ge3\left(\frac{3-2x}{x-1}+\frac{x}{y}\right)\)

Tìm x,y nguyên:

1) (2x-1).(2x-5)<0

2) (3x+1).(5-2x)>0

3) (3-2x).(x+2)>0

4) (2-x).(x+1)=|y+1|

5) (x+3).(1-x)=|y|

6) (x-2).(5-x)=|2y+1|+2

7)(x-3).(x-5)+|y-2|=0

8) (x-2).(5-x)-|y+1|=1

GIÚP MK VS MK TICK CHO

THANK FOR WATCHING!

1)Tìm x,y thuoc Z thoa man dong thoi

x^3+y^3=1  x^7+y^7=x^4+y^4

2)Cho A=y^5 - 5y^3 +4y y thuoc Z

CM nếu y ko chia hết 3 thì A chia hết 360

3)Tìm P(x) bậc 4 thỏa mãn

P(-1)=0 , P(x)-P(x-1)=x*(x+1)*(2x+1) voi x thuoc R 

cho x>1,y>0 .Cmr: \(\frac{1}{\left(x-1\right)^3}+\frac{\left(x-1\right)^3}{y^3}+\frac{1}{y^3}\ge3\left(\frac{3-2x}{x-1}+\frac{x}{y}\right)\)