\(\dfrac{x-3}{x+1}+\dfrac{x+2}{1-x}+\dfrac{5}{x^2-1}\)
tui tick cho ai làm xong trước
Tìm x :
c) \(\dfrac{x+4}{20}=\dfrac{5}{x+4}\) d) \(\dfrac{x-1}{x+2}=\dfrac{x-2}{x+3}\)
mọi người ơi giúp mik với , ai làm đc mik tick cho
c) \(\dfrac{x+4}{20}=\dfrac{5}{x+4}\)
⇔\(\left(x+4\right)\left(x+4\right)=100\)
⇔\(\left(x+4\right)^2=10^2\)
⇔\(\left[{}\begin{matrix}x+4=10\\x+4=-10\end{matrix}\right.\)
⇔\(\left[{}\begin{matrix}x=6\\x=-14\end{matrix}\right.\)
\(c,ĐK:x\ne-4\\ PT\Leftrightarrow\left(x+4\right)^2=100\\ \Leftrightarrow\left[{}\begin{matrix}x+4=10\\x+4=-10\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=6\left(tm\right)\\x=-14\left(tm\right)\end{matrix}\right.\\ d,ĐK:x\ne-2;x\ne-3\\ PT\Leftrightarrow\left(x-1\right)\left(x+3\right)=\left(x-2\right)\left(x+2\right)\\ \Leftrightarrow x^2+2x-3=x^2-4\\ \Leftrightarrow2x=-1\Leftrightarrow x=-\dfrac{1}{2}\left(tm\right)\)
Tìm x:
a) \(\dfrac{x-3}{x+5}=\dfrac{5}{7}\) b) \(\dfrac{7}{x-1}=\dfrac{x+1}{9}\)
mọi người ơi giúp mik với ai làm đc mik tick cho
a) \(\dfrac{x-3}{x+5}=\dfrac{5}{7}\)
⇔\(7\left(x-3\right)=5\left(x+5\right)\)
⇔\(7x-21=5x+25\)
⇔\(7x-21-5x-25=0\)
⇔\(2x-46=0\)
⇔\(2x=46\)
⇔\(x=23\)
b) \(\dfrac{7}{x-1}=\dfrac{x+1}{9}\)
⇔\(\left(x+1\right)\left(x-1\right)=7.9\)
⇔\(x^2-1=63\)
⇔\(x^2=64=8^2\)
⇔\(\left[{}\begin{matrix}x=8\\x=-8\end{matrix}\right.\)
\(a.\dfrac{x-3}{x+5}=\dfrac{5}{7}\)
\(\left(x-3\right).7=\left(x+5\right).5\)
\(\left(x.7\right)+\left[\left(-3\right).7\right]=\left(x.5\right)+\left(5.5\right)\)
\(7x-21=5x+25\)
\(7x-5x=25+21\)
\(2x=46\)
\(x=46:2\)
\(x=23\)
Câu b/ cứ làm theo câu a/ là được
AcCl3 và NiCl2
Cho biểu thức : A = \(\dfrac{x^2+2}{x^2-1}+\dfrac{x+1}{x^2+x+1}+\dfrac{1}{1-x}\)với x ≠ 1
a) Chứng minh A = \(\dfrac{x}{x^2+x+1}\)
b) Tính x để A = \(\dfrac{2}{7}\)
c) Tìm giá trị nhỏ nhất của A
Help tui với tui ko biết làm :v
a: \(A=\dfrac{x^2+2+x^2-1-x^2-x-1}{\left(x-1\right)\left(x^2+x+1\right)}=\dfrac{x}{x^2+x+1}\)
\((\dfrac{x+2}{3x}+\dfrac{2}{x+1}-3):\dfrac{2-4x}{x+1}-\dfrac{3x-x^2+1}{3x}\)
a) Rút gọn D
b)Tính D với x = 2010
c)Tìm x để D < 0
d) Tìm x ∈ Z để \(\dfrac{1}{D}\)∈ Z
Ai giúp mik với^^sẽ follow và tick đúng cho ai làm đc ạ
B1 : Tìm x,y
a) \(\dfrac{x}{-15}=\dfrac{60}{x}\)
b)\(\dfrac{-2}{x}=\dfrac{-x}{\dfrac{8}{25}}\)
c)\(\dfrac{37-x}{x+13}=\dfrac{3}{7}\)
d) \(\dfrac{x}{2}=\dfrac{y}{5}=xy=10\)
Giúp tui đi :< Tui tick
d: Đặt x/2=y/5=k
=>x=2k; y=5k
Ta có: xy=10
nên k2=1
Trường hợp 1: k=1
=>x=2; y=5
Trường hợp 2: k=-1
=>x=-2; y=-5
câu 1: (x-2)(x2+2x+4)+25x=x(x+5)(x-5)+8
câu 2: \(\dfrac{x+5}{4}\)+\(\dfrac{3+2x}{3}\)=\(\dfrac{6x-1}{3}\)-\(\dfrac{1-2x}{12}\)
câu 3:\(\dfrac{x-4}{3}\)-\(\dfrac{3x-1}{12}\)=\(\dfrac{3x+1}{4}\)+\(\dfrac{9x-2}{8}\)
Giúp mình với ai làm mà có lời giải rõ á là mình tym nha làm ơn
Câu 1:
\(\left(x-2\right)\left(x^2+2x+4\right)+25x=x\left(x+5\right)\left(x-5\right)+8\)
\(\Leftrightarrow x^3-8+25x=x\left(x^2-25\right)+8\)
\(\Leftrightarrow x^3-8+25x=x^3-25x+8\)
\(\Leftrightarrow x^3-8+25x-x^3+25x-8=0\)
\(\Leftrightarrow50x-16=0\)
\(\Leftrightarrow50x=16\)
\(\Leftrightarrow x=\dfrac{8}{25}\)
Câu 2 :
\(\dfrac{x+5}{4}+\dfrac{3+2x}{3}=\dfrac{6x-1}{3}-\dfrac{1-2x}{12}\)
<=> \(\dfrac{3\left(x+5\right)}{12}+\dfrac{4\left(3+2x\right)}{12}=\dfrac{4\left(6x-1\right)}{12}-\dfrac{1-2x}{12}\)
<=>\(\dfrac{3x+15+12+8x}{12}=\dfrac{24x-4-1+2x}{12}\)
<=> 3x + 15 + 12 + 8x = 24x - 4 - 1 +2x
<=> 11x+27 = 26x -5
<=> ( 26x - 5 ) - ( 11x + 27 ) = 0
<=> 15x - 32 = 0
<=> 15x = 32
<=> x = \(\dfrac{32}{15}\)
Câu 3:
x - 4/3 - 3x - 1/12 = 3x + 1/4 + 9x - 2/8
<=> 4x - 16 - 3x + 1/12 = 6x + 2 + 9x - 2/8
<=> x - 15/12 = 15x/8
<=> 8x - 120 = 180x
<=> 120 = -172x <=> x = -172/120 = -43/30
\(\dfrac{5}{6}=\dfrac{x-1}{x}\)
ai giải hộ tui câu này, các câu khác tui dựa vô tui làm^^
\(\Leftrightarrow5x=6\left(x-1\right)\Leftrightarrow5x=6x-6\Leftrightarrow x=6\)
ĐKXĐ:\(x\ne0\)
\(\dfrac{5}{6}=\dfrac{x-1}{x}\\ \Rightarrow5x=6\left(x-1\right)\\ \Rightarrow5x=6x-6\\ \Rightarrow6x-5x-6=0\\ \Rightarrow x-6=0\\ \Rightarrow x=6\)
Tìm x biết
a) \(\dfrac{-2}{5}+\dfrac{5}{3}\left(\dfrac{3}{2}-\dfrac{4}{15}x\right)=\dfrac{-7}{6}\)
b) \(\left(\dfrac{1}{4}x-1\right)+\left(\dfrac{2}{3}x-2\right)-\left(\dfrac{5}{8}x+1\right)=5\)
Ai nhanh 3 tick nha
1. Tính
a, \(\dfrac{2}{3}\) + \(\dfrac{5}{2}\) - \(\dfrac{3}{4}\)
b, \(\dfrac{2}{5}\) x \(\dfrac{1}{2}\) : \(\dfrac{1}{3}\)
c, \(\dfrac{2}{9}\) : \(\dfrac{2}{9}\) x \(\dfrac{1}{3}\)
Giúp tui với mình cần gấp lắm.
a)
`2/3+5/2-3/4`
`=10/4-3/4+2/3`
`=7/4+2/3`
`=21/12+8/12`
`=29/12`
b)
`2/5xx1/2:1/3`
`=2/10xx3/1`
`=6/10=3/5`
c)
`2/9:2/9xx1/3`
`=2/9xx9/2xx1/3`
`=1xx1/3`
`=1/3`
a, \(\dfrac{2}{3}\) + \(\dfrac{5}{2}\) - \(\dfrac{3}{4}\)
= \(\dfrac{8}{12}\) + \(\dfrac{30}{12}\) - \(\dfrac{9}{12}\)
= \(\dfrac{38-9}{12}\)
= \(\dfrac{29}{12}\)
b, \(\dfrac{2}{5}\) x \(\dfrac{1}{2}\) : \(\dfrac{1}{3}\)
= \(\dfrac{1}{5}\) x \(\dfrac{3}{1}\)
= \(\dfrac{3}{5}\)
c, \(\dfrac{2}{9}\) : \(\dfrac{2}{9}\) x \(\dfrac{1}{3}\)
= 1 x \(\dfrac{1}{3}\)
= \(\dfrac{1}{3}\)