Giải pt
\(\frac{100}{x}-\frac{120}{x+20}=\frac{1}{2}\)
\(\frac{120}{x}=1+\frac{1}{6}+\frac{120-x}{x+6}\)
Giải pt
\(ĐK:x\ne0;x\ne-6\)
⇔ \(\frac{720\left(x+6\right)}{6x\left(x+6\right)}=\frac{6x\left(x+6\right)}{6x\left(x+6\right)}+\frac{x\left(x+6\right)}{6x\left(x+6\right)}+\frac{6x\left(120-x\right)}{6x\left(x+6\right)}\)
\(\Rightarrow720x+4320=6x^2+36x+x^2+6x+720x-6x^2\)
\(\Leftrightarrow6x^2+36x+x^2+6x+720x-6x^2-720x-4320=0\)
\(\Leftrightarrow x^2+42x-4320=0\)
\(\Leftrightarrow x^2+90x-48x-4320=0\)
\(\Leftrightarrow\left(x+90\right)\left(x-48\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+90=0\\x-48=0\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=-90\\x=48\end{matrix}\right.\) ( tm )
Giải PT:
\(\frac{1}{x^2+9x+20}+\frac{1}{x^2+11x+30}+\frac{1}{x^2+13x+42}=\frac{1}{18}\)
giải giùm ra kết quả cho tui mừng coi
<=>1/(x+4)(x+5)+1/(x+5)(x+6)+1/(x+6)(x+7)=1/18
<=>1/(x+4)-1/(x+5)+1/(x+5)-1/(x+6)+1/(x+6)-1/(x+7)=1/18
<=>1/(x+4)-1/(x+7)=1/18
<=>3/(x+4)(x+7)=1/18
<=>(x+4)(x+7)=54
<=>x2+11x+28=54
<=>x2+11x-16=0
<=>x2+11x+121/4-185/4=0
đến đây chắctự làm đc
Giải pt
\(\frac{2+x}{\sqrt{20-x}}+\frac{2-x}{\sqrt{20+x}}=\frac{20}{3}\left(x\inℝ\right)\)
Cho hệ pt
X - Y = 10
\(\frac{120}{y}-\frac{120}{x}=\frac{3}{5}\)
Giải hệ pt bằng hai phương pháp
Giải pt:
a) \(\frac{x^2+2x-16}{x^2-x-12}+1=\frac{2x+1}{x+3}+\frac{3x-8}{x-4}\)
b) \(\frac{2x-1}{x+2}+\frac{7x+9}{\left(x+2\right)\left(x-1\right)}=\frac{3x-1}{x-1}\)
c) \(\frac{x+1}{20}+\frac{x+2}{19}+\frac{x+3}{18}=\frac{x+20}{1}+\frac{x+19}{2}+\frac{x+18}{3}\)
Giải giúp mình với ạ :((
giải hệ pt sau: \(\hept{\begin{cases}-x+y=-24\\\frac{120}{x}-\frac{120}{y}=\frac{5}{6}\end{cases}}\)
Giải PT sau!!
\(20\left(\frac{x-2}{x+1}\right)^2-3\left(\frac{x+2}{x-1}\right)+48.\frac{x^2-4}{x^2-1}=0\)
Giúp với!!
GIẢI PT
a)\(\frac{x}{3}+20=\frac{x}{2}\)
b)\(\frac{x}{x-1}+\frac{2x}{x^2}=0\)
câu a
x/3 +20 =x/2
x/2 - x/3 = 20
(3x-2x)/6 = 20
x/6 = 20
x = 20*6
x=120
câu b
x/(x-1) + 2x/x*x = 0 (x khác 0 ,1)
(x*x*x + 2x *(x-1)) / (x-1) * x*x = 0
x*x*x + 2*x*x - 2*x = 0
x*(x*x + 2*x -2 ) =0
x=0 hoặc x*x+2*x-2=0
x=0 hoặc (x*x + 2x + 1)-3 =0
x=0 hoặc (x + 1)*(x+1)=3
x=0 hoặc x+1 = căn 3 hoặc x=âm căn3
x=0 hoặc x =căn 3 trừ 1 hoặc x = âm căn 3 trừ một
\(\frac{10-x}{100}+\frac{20-x}{110}+\frac{30-x}{120}=3\)
Ta có : \(\frac{10-x}{100}+\frac{20-x}{110}+\frac{30-x}{120}=3\)
<=> \(\frac{10-x}{100}+\frac{20-x}{110}+\frac{30-x}{120}-3=0\)
<=> \(\left(\frac{10-x}{100}-1\right)+\left(\frac{20-x}{110}-1\right)+\left(\frac{30-x}{120}-1\right)\)= 0
<=> \(\left(\frac{-90-x}{100}\right)+\left(\frac{-90-x}{110}\right)+\left(\frac{-90-x}{120}\right)=0\)
<=> (-90-x) \(\left(\frac{1}{100}+\frac{1}{110}+\frac{1}{120}\right)=0\)
<=> -90- x = 0 vì \(\left(\frac{1}{100}+\frac{1}{110}+\frac{1}{120}\right)\ne0\) ( > 0)
<=> -x = 90
<=> x = -90
Vậy x = -90
(10-x)/100+(20-x)/110+(30-x)/120=3
=>(10-x)/100+(20-x)/110+(30-x)/120-3=0
=>(10-x)/100-1+(20-x)/110-1+(30-x)/120-1=0
=>(-90-x)/100+(-90-x)/110+(-90-x)/120=0
=.>(-90-x)(1/100+1/110+1/120)=0
=.>(-90-x)=0(vì(1/100+1/110+1/120)luôn>0)
=>x=-90