Tìm x biết :
x + ( x +1 ) + ( x +2 ) + ( x + 3 ) +. . . + ( x + 2009 ) = 2009 . 2010
tìm x biết :
(2009 - x^2) + ( 2009 - x^2)( x - 2010) + ( x - 2010) / (2009 - x^2) - ( 2009 - x^2)( x - 2010) + ( x - 2010 ) = 19/49
Tìm x biết: (2009-x)2 + (2009-x)(x-2010) + (x-2010)2/(2009-x)2 - (2009-x)(x-2010) + (x-2010)2 = 19/49
dat a =2009-x
b=x-2010
ta co : a^2+ab+b^2/a^2-ab+b^2 =19/49
<=>49a^2+49ab+49b^2=19a^2-19a+19b^2
<=>30a^2+68a+30b^2=0
<=>15a^2+34ab+15b^2=0
<=>15a^2+9ab+25ab+15b^2=0
<=>3a(5a+3b)+5b(5a+3b)=0
<=>(5a+3b)(3a+5b)=0
<=>5a+3b=0 hoac 3a+5b=0
vs 5a +3b=0 <=>5(2009-x)+3(x-2010)=0=>x=......
Tìm x biết: (2009-x)2 + (2009-x)(x-2010) + (x-2010)2/(2009-x)2 - (2009-x)(x-2010) + (x-2010)2 = 19/49
Tìm x biết :
x+(x+1)+(x+2)+(x+3)+ .........+ (x+2009) = 2009 . 2010 ( Dấu chấm (.) là dấu nhân )
2010.2009=.........
........-2009.2009=..........
vay x=..........
tìm x biết \(\frac{\left(2009-x\right)^2+\left(2009-x\right)\left(x-2010\right)+\left(x-2010\right)^2}{\left(2009-x\right)^2-\left(2009-x\right)\left(x-2010\right)+\left(x-2010\right)^2}=\frac{19}{49}\)
đặt 2009-x=a,x-2010=b
suy ra a^2+ab+b^2/a^2-ab+b^2=19/49
suy ra 49(a^2+ab+b^2)=19(a^2-ab+b^2)
49a^2+49ab+49b^2=19a^2-19ab+19b^2
30a^2+68ab+30b^2=0
30a^2+50ab+18ab+30b^2=0
10a(3a+5b)+6b(3a+5b)=0
(3a+5b)(10a+6b)=0
suy ra 3a+5b=0 hoặc 10a+6b=0
thế vào lại rồi tìm x
Tìm x biết:
\(\frac{\left(2009-x\right)^2+\left(2009-x\right)\left(x-2010\right)+\left(x-2010\right)^2}{\left(2009-x\right)^2-\left(2009-x\right)\left(x-2010\right)+\left(x-2010\right)^2}=\frac{19}{49}\)
Ai giúp mình với,cô cho toàn bài khó.
B1:
a)Tìm x,y biết (x+y)^2=(x-1)(y+1)
b)Tìm x,y,z biết :9x^2+y^2+2z^2-18x+4z-6y +20=0
B2:
Cho x/a+y/b+z/c=1 và-a/x+b/y+c/z=0
C/m x^2/a^2 +y^2/b^2 +z^2/c^2=1
B3:
Tìm x
(2009-x)^2+(2009-x)(x-2010)+(x-2010)^2/(2009-x)^2-(2009-x)(x-2010)+(x-2010)^2=19/49
Bài 3: Tìm x biết x + (x +1 +(x+2)+.....+ (x + 2009) + (x + 2010) = 2011.1009 .
Tìm x : (2009-x)2+(2009-x)(x-2010)+(x-2010)2/(2009-x)2-(2009-x)(x-2010)+(x-2010)2=19/49
tìm x
x + ( x + 1 ) + ( x + 2 ) + ( x +3 ) + .......... + ( x + 2009 ) = 2009 . 2010
x+(x+1)+...+(x+2009) dãy số trên ta có : x+2009-x+1=2010
=> x+(x+1)+....+(x+2009)=(x+x+2009).2010:2=(2x+2009).1005
=>(2x+2009).1005= 2009.2010
2x+2009 = 2009.2
2x=2009.2-2009
2x=2009
x=\(\frac{2009}{2}\)