A=\(\frac{1}{x^2}+x^2=\frac{1}{x^2}+2.x\frac{1}{x}+x^2-2=\left(\frac{1}{x}+x\right)^2-2\ge-2\)
vậy minA=-2
A=\(\frac{1}{x^2}+x^2=\frac{1}{x^2}+2.x\frac{1}{x}+x^2-2=\left(\frac{1}{x}+x\right)^2-2\ge-2\)
vậy minA=-2
tim hai so x va y biet x^2+y^2;x^2-y^2 va x^2.y^2 ti le nghich voi 1/25,1/7 va 1/576(x khac 0 va y khac 0)
tim x biet: x\y^2=2 va x\y=16(y khac 0)
cho don thuc 3(a+1/a)x^4y^2 voi a la hang so ,a khac 0
a)tim a de da thuc luon khong am voi moi x,y
b)tim a de da thuc luon khong duong voi moi x,y
cho x,y,z la cac so khac 0 va x2=yz; y2=xz; z2=xy. chung min x=y=z
Tim 2 so huu ti x va y sao cho x-y=x.y=x:y(y khac 0)
tim cac so nguyen x,y thoa man: 1/x-1/3=1/y voi x,y khac 0
Tim 4 so a,b,x,y khac 0 thoa man
x=a-y va y=x×b/x-b
tim x;y;z;x va x;y;z khac 0 biet
(x.y-1)/y=(y.z-1)/z=(x.z-1)/x=1
Tìm x,y
a)(2+x) .y= x+y-1=x:(y-1) (Y khac 0)
b)xy-x-y+1=x+y-2=(x-1).(y-1) (y khav -1)
c) xy+2x+2y+4=x-y=(x+2):(y+2) (y khac -2)