x2+y2-2x+4y+5=0
<=>x2-2x+1+y2+4y+4=0
<=>(x-1)2+(y+4)2=0
<=>x-1=0 và y+4=0
<=>x=1 và y=-4
x2+y2-2x+4y+5=0
<=>x2-2x+1+y2+4y+4=0
<=>(x-1)2+(y+4)2=0
<=>x-1=0 và y+4=0
<=>x=1 và y=-4
giup tui giai bai toan nay voi
tim GTNN cua P= x^2/y^2+y^2/x^2-3(x/y+y/x)+5 (x#0;y#0)
cho x+y+4=0
Tim max B=2(x^3+y^3)+3(x^2+y^2)+10xy
1. phan tich da thuc thanh nhan tu
a. x^2+3x-5 b. 4x^2-16x+7 c. 5x^2-6x-7 d.x^4+2x^3-4x-4
2. tim x,y bt: x^2+y^2+z^2=xy+yz+zx va x^2012+y^2012+z^2012= 3^2013
3. tim x: a. x^2-4x=21 b. x^2-4x+4=0 c.x^2-6x=2x=11 d. 4^x-12.2^x+32=0
cho x+y=5 tim max A=x^4+y^4-4(x^3+y^3)-20(x^2+y^2)-2x^2y^2+xy
tim x y biet x^2+y^2 + z^2 -xy-3y-2z+4=0
TIM x va y
\(\left(\frac{1}{2}x-5\right)^2+\left(y^2-\frac{1}{4}\right)^4=0\)
tim x,y thuoc Z
x.( y -2 ) + 2.y = 8
x -1 /y + 5 = 1/5 va x+ y = 4
1.thanh hieu hai binh phuong a)(x+y+4)*(x+y-4) b)(x-y+6)*(x+y-6) c)(y+2z-3)*(y-2z-3) d)(x+2y+3z)*(2y+3z-x)
2.rut gon a)(x+1)^2-(x-1)^2-3(x+1)*(x-1) b) 5(x+2)*(x-2)-1/2(6-8x)^2+17
3.tim x a)25x^2-9=0 b) (x+4)-(x+1(x-1)=16
Tim x,y,z bt
a. \(\frac{x^2}{2}+\frac{y^2}{3}+\frac{z^2}{4}=\frac{x^2+y^2+z^2}{5}\)
b. 9x2+y2+2z2-18x+4z-6y+20=0