( 80 - x ) : x = 4
giải phương trình :
\(\dfrac{80}{x+4}\)+ \(\dfrac{80}{x-4}\) = \(\dfrac{25}{3}\)
\(\Leftrightarrow\dfrac{16}{x+4}+\dfrac{16}{x-4}=\dfrac{5}{3}\)
=>\(\dfrac{16x-64+16x+64}{x^2-16}=\dfrac{5}{3}\)
=>5(x^2-16)=3*32x=96x
=>5x^2-96x-80=0
=>x=20 hoặc x=-4/5
Giải phương trình sau
80/x+4 + 80/x-4 = 25/3
\(\frac{80}{x+4}+\frac{80}{x-4}=\frac{25}{3}\left(1\right)\)
ĐKXĐ: \(x\ne\pm4\)
\(\left(1\right)\Leftrightarrow\frac{80\left(x-4\right)}{\left(x-4\right)\left(x+4\right)}+\frac{80\left(x+4\right)}{\left(x-4\right)\left(x+4\right)}=\frac{25}{3}\)
\(\Leftrightarrow\frac{80x-320+80x+320}{\left(x-4\right)\left(x+4\right)}=\frac{25}{3}\)
\(\Leftrightarrow\frac{160x}{\left(x-4\right)\left(x+4\right)}=\frac{25}{3}\)
\(\Rightarrow480x=25\left(x-4\right)\left(x+4\right)\)
\(\Leftrightarrow480x=25\left(x^2-16\right)\)
\(\Leftrightarrow480x=25x^2-400\)
\(\Leftrightarrow25x^2-480x-400=0\)
\(\Leftrightarrow25x^2-480x+2304-2704=0\)
\(\Leftrightarrow\left(5x-48\right)^2=2704\)
\(\Leftrightarrow\left|5x-48\right|=52\)
+Trường hợp 1: Nếu \(x\ge\frac{48}{5}\)thì \(5x-48\ge0\Rightarrow\left|5x-48\right|=5x-48\)
Ta có phương trình;
\(5x-48=52\)
\(\Leftrightarrow5x=100\)
\(\Leftrightarrow x=20\)(thỏa măn)
+Trường hợp 2: Nếu\(x< \frac{48}{5}\)thì \(5x-48< 0\Rightarrow\left|5x-48\right|=48-5x\)
Ta có phương trình:
\(48-5x=52\)
\(\Leftrightarrow-5x=4\)
\(\Leftrightarrow x=-\frac{4}{5}\)(thỏa mãn)
\(S=\left\{20;-\frac{4}{5}\right\}\)
Ta có: \(\frac{80}{x+4}+\frac{80}{x-4}=\frac{25}{3}\)
\(\Leftrightarrow80.\left[\frac{x-4+x+4}{\left(x+4\right).\left(x-4\right)}\right]=\frac{25}{3}\)
\(\Leftrightarrow\frac{2x}{x^2-16}=\frac{25}{3}:80\)
\(\Leftrightarrow\frac{2x}{x^2-16}=\frac{5}{48}\)
\(\Rightarrow48.2x=5.\left(x^2-16\right)\)
\(\Leftrightarrow96x=5x^2-80\)
\(\Leftrightarrow5x^2-96x-80=0\)
\(\Leftrightarrow\left(5x^2-100x\right)+\left(4x-80\right)=0\)
\(\Leftrightarrow5x.\left(x-20\right)+4.\left(x-20\right)=0\)
\(\Leftrightarrow\left(5x+4\right).\left(x-20\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}5x+4=0\\x-20=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}5x=-4\\x=20\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-\frac{4}{5}\left(TM\right)\\x=20\left(TM\right)\end{cases}}\)
Vậy \(S=\left\{-\frac{4}{5};20\right\}\)
Cách khác , mk cx chwua xm cách trên nhưng mk nghĩ là khác.
ĐKXĐ : \(\hept{\begin{cases}x+4\ne0\\x-4\ne0\end{cases}\Rightarrow\hept{\begin{cases}x\ne-4\\x\ne4\end{cases}}}\)
\(\frac{80}{x+4}+\frac{80}{x-4}=\frac{25}{3}\)
\(\frac{80\left(x-4\right)3}{\left(x+4\right)\left(x-4\right)3}+\frac{80\left(x+4\right)3}{\left(x-4\right)\left(x+4\right)3}=\frac{25\left(x+4\right)\left(x-4\right)}{3\left(x+4\right)\left(x-4\right)}\)
\(80\left(x-4\right)3+80\left(x+4\right)3=25\left(x+4\right)\left(x-4\right)\)
\(240\left(x-4\right)+240\left(x+4\right)=25\left(x+4\right)\left(x-4\right)\)
\(480x=25x^2-400\)
\(480x-25x^2+400=0\)
\(5\left(96x-5x^2+80\right)=0\)
\(\left(5x+4\right)\left(x-20\right)=0\)
\(\orbr{\begin{cases}5x+4=0\\x-20=0\end{cases}\Leftrightarrow\orbr{\begin{cases}5x=-4\\x=20\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=-\frac{4}{5}\\x=20\end{cases}}}\)
Theo ĐKXĐ : => x (TM)
Tìm x
a) X x 4 = 80
b) 3 x X = 90
a) X x 4 = 80
X = 80 : 4
X = 20
b) 3 x X = 90
X = 90 : 3
X = 30
timf x
a,4^x+4^x+1=80
b,4^x+1+4^x+2+4^x+3=84
a) \(4^x+4^{x+1}=80\)
\(\Rightarrow4^x+4^x.4=80\)
\(\Rightarrow4^x.\left(1+4\right)=80\)
\(\Rightarrow4^x.5=80\)
\(\Rightarrow4^x=16\)
\(\Rightarrow4^x=4^2\)
\(\Rightarrow x=2\)
Vậy x = 2
Tim x:
4^x+1 +4^x =80
Tìm x biết:
a) x + 30% x+1,5 x = 2,5
b) 2 (3x - 4) - 3 (x + 2) = 3
c) -110 + 7x - 80 = 25 + 2x - 80
a, \(x+30\%x+1,5x=2,5\\ < =>x+0,3x+1,5x=2,5\\ < =>\left(1+0,3+1,5\right)x=2,5\\ < =>2,5x=2,5\\ =>x=\dfrac{2,5}{2,5}=1\)
b, \(2\left(3x-4\right)-3\left(x+2\right)=3\\ < =>6x-8-3x-6=3\\ < =>6x-3x=3+8+6\\ < =>3x=17\\ =>x=\dfrac{17}{3}\)
c, \(-110+7x-80=25+2x-80\\ < =>-110-80+80-25=2x-7x\\ < =>-135=-5x\\ =>x=\dfrac{-135}{-5}=27\)
Tìm x : 80:(3.x-4) = 16
80 : (3.x - 4) = 16
3x - 4 = 80 : 16
3x - 4 = 5
3x = 5 + 4
3x = 9
x = 9 : 3
x = 3
\(80:\left(3x-1\right)=16\)
\(\Rightarrow3x-4=80:16\)
\(\Rightarrow3x-4=5\)
\(\Rightarrow3x=5+4\)
\(\Rightarrow3x=9\)
\(\Rightarrow x=9:3\)
\(\Rightarrow x=3\)
Vậy \(x=3\)
Tính bằng cách thuận tiện:
5 x 74 x 2
4 x 196 x 5
(50 + 25) x 4
125 x (80 + 8)
`5 xx 74 xx 2 = 5xx 2 xx 74 = 10xx74 = 740`
`4xx196xx5 = 4xx5xx196 = 20xx196 = 3920`
`(50 + 25)xx4 = 50xx4 + 25xx4 = 200 + 100 = 300`
`125xx(80+8) = 125xx80 + 125xx8 = 10000 + 1000 = 11000`
3/4 x 8/9 x 15/16 x ..... x 80/81 x 99/100
Ai biết trả lời nhanh giúp mình nha mình đang cần luôn rất rất rất rất gấp.