a, ta co:
x-2/4=-16/2-x
=>(x-2)(2-x)=(-16).4
lai co: x-2/2-x=-1
=>x-2=(-1).(2-x)
a, ta co:
x-2/4=-16/2-x
=>(x-2)(2-x)=(-16).4 (1)
lai co: x-2/2-x=-1
=>x-2=(-1).(2-x) (2)
thay(2) vao(1) ,ta co:
(2-x)^2=-64
.........(tu lam tiep nha)
a, ta co:
x-2/4=-16/2-x
=>(x-2)(2-x)=(-16).4
lai co: x-2/2-x=-1
=>x-2=(-1).(2-x)
a, ta co:
x-2/4=-16/2-x
=>(x-2)(2-x)=(-16).4 (1)
lai co: x-2/2-x=-1
=>x-2=(-1).(2-x) (2)
thay(2) vao(1) ,ta co:
(2-x)^2=-64
.........(tu lam tiep nha)
Tìm x biết
\(\left(\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{2015}+\dfrac{1}{2016}\right)x=\dfrac{2015}{1}+\dfrac{2014}{2}+...+\dfrac{2}{2014}+\dfrac{1}{2015}\)
Tìm x , biết ;
\(\dfrac{x+1}{2016}+\dfrac{x+2}{2015}=\dfrac{x+3}{2014}+\dfrac{x+4}{2013}\)
Tìm X \(\dfrac{x-1}{2017}+\dfrac{x-2}{2016}=\dfrac{x-3}{2015}+\dfrac{x-4}{2014}\)
a, CMR : nếu \(\dfrac{a}{b}=\dfrac{c}{d}\) thì \(\dfrac{5a+3b}{5a-3b}=\dfrac{5c+3d}{5c-3d}\) ( gt các tỉ số đều có nghĩa )
b, tìm x,biết: \(\dfrac{x-1}{2017}+\dfrac{x-2}{2016}+\dfrac{x-3}{2015}=\dfrac{x-4}{2014}\)
Bài 1:
a) Cho a(y+z) = b(z+c) = c(x+y) Tính: \(\dfrac{y-z}{a\left(b-c\right)}=\dfrac{z-c}{b\left(c-a\right)}=\dfrac{x-y}{c\left(a-b\right)}\)
b) \(Cho\dfrac{a}{2014}=\dfrac{b}{2015}=\dfrac{c}{2016}cm:4\left(a-b\right)\left(b-c\right)=\left(c-a\right)^2\)
c) \(\dfrac{a}{a'}+\dfrac{b'}{b}=1\) và \(\dfrac{b}{b'}+\dfrac{c'}{c}=1\)
cm: abc+a'b'c'=0
bài 4:
a) \(\dfrac{3x-y}{x+y}=\dfrac{3}{4}\) Tính: \(\dfrac{x}{y}\)
b) \(\dfrac{x}{2}=\dfrac{y}{3}=\dfrac{z}{4}\) Tính P = \(\dfrac{xy+yz+xz}{x^2+y^2-z^2}\)
c) \(\dfrac{a}{b+c+d}=\dfrac{b}{a+c+d}=\dfrac{c}{a+b+d}=\dfrac{d}{a+b+c}\)
Tính : P = \(\dfrac{a+b}{c+d}+\dfrac{c+b}{a+d}=\dfrac{c+d}{a+b}=\dfrac{a+d}{c+b}\)
d) \(\dfrac{a+b}{c}=\dfrac{b+c}{a}=\dfrac{c+a}{b}\) Tính: \(P=\left(1+\dfrac{a}{b}\right)\left(1+\dfrac{b}{c}\right)\left(1+\dfrac{c}{a}\right)\)
1. Cho a, b, c, x, y, z khác 0 thỏa mãn bx=ay; cy=bx
Chứng minh rằng: \(\dfrac{a^2}{x}+\dfrac{b^2}{y}+\dfrac{c^2}{z}=\dfrac{\left(a+b+c\right)^2}{x+y+z}\)
2. Tìm các giá trị x, y thỏa mãn \(\left|2x-3y\right|^{2015}+\left(x+y+x\right)^{2014}=0\)
3. Tìm các cặp số (x;y) thỏa mãn:\(\dfrac{y^4-x^4}{15}=\dfrac{y^4+x^4}{17}\) và x.y=2
Tìm x biết \(\dfrac{x+4}{2015}+\dfrac{x+3}{2016}=\dfrac{x+2}{2017}+\dfrac{x+1}{2018}\)
1. Tìm x,y,z biết :
a, \(\dfrac{x}{3}=\dfrac{y}{4}=\dfrac{z}{5}\) và x-2y+3z=35
b, \(\dfrac{x}{10}=\dfrac{y}{6}\) và xy=60
2. Tìm x,y,z biết: 2x = \(\dfrac{y}{3}=\dfrac{z}{5}\) và x+y-\(\dfrac{z}{2}\) =-20
bài tập: tìm x, y, z, biết:
a)x : y : z = 3 : 5 : (-2) và 5x - y + 3z = -16
b) x + y + z = 5,2 và \(\dfrac{x}{2}\)= \(\dfrac{y}{-3}\); \(\dfrac{z}{3}\)=\(\dfrac{y}{4}\)
c) \(\dfrac{x+3}{5}\)=\(\dfrac{y-2}{3}\)=\(\dfrac{z-1}{7}\) và 3x + 5y - 7z =32
e)\(\dfrac{x}{4}\) = \(\dfrac{y}{5}\) và xy = 80
f) \(\dfrac{x}{4}\)= \(\dfrac{y}{3}\) và x\(^2\) - y\(^2\) = 63