ĐKXĐ:\(x\ne0,x\ne-12\)
\(\dfrac{270}{x}-\dfrac{270}{x+12}=\dfrac{7}{10}\\ \Leftrightarrow270\left(\dfrac{1}{x}-\dfrac{1}{x+12}\right)=\dfrac{7}{10}\\ \Leftrightarrow\dfrac{x+12-x}{x\left(x+12\right)}=\dfrac{7}{2700}\\ \Leftrightarrow\dfrac{12}{x^2+12x}=\dfrac{7}{2700}\\ \Leftrightarrow7x^2+84x-32400=0\)
Xem lại đề
Giải các phương trình sau:
a) 90/x - 36/x-6 = 2
b) 1/x + 1/x+10 = 1/12
c) x+7/x-2 = x-2/x+7
d) 2x+5/x+3 + 3x+2/x = 5
giải phương trình
a. x-1/x^2 -x +1 - x+1/x^2 +x +1 = 10 / x(x^4 +x^2 +1)
b. x+9/10 + x+10/9 = 9/x+10 + 10/x+9
c. x-5/x-5 + x-6/x-5 + x-7/x-5 +...+1/x-5 =4 (x thuộc N)
d. 1/x^2 +3x+2 + 1/x^2 +5x+6 + 1/x^2 +7x+12 +...+ 1/x^2 +15x+56=1/14
1. a. 4x-20=0
b. 2x+x+12=0
c. x-5=3-x
d. 7-3x=9-x
2.
a. 7+2x=22-3x
b. 8x-3=5x+12
c. x-12+4x=25+2x-1
d. x+2x+3x-19=3x+5
e. 7-(2x+4)=-(x+4)
f. (x-1)-(2x-1)=9-x
\(\dfrac{12}{x^2-4}-\dfrac{x+1}{x-2}+\dfrac{x+7}{x+2}=0\)
Giải các phương trình sau:
a) \(x^3-x^2-\dfrac{8}{x^3-x^2}=2\)
b) \(x\left(\dfrac{8-x}{x-1}\right)\left(x-\dfrac{8-x}{x-1}\right)=15\)
c) \(\left(\dfrac{7x-x^2}{x+1}\right)\left(\dfrac{7+x^2}{x+1}\right)=10\)
d) \(x\left(\dfrac{4-x}{x-3}\right)\left(x+\dfrac{3x-12}{x-3}\right)=4\)
e)\(\left(\dfrac{7x-x^2}{x+3}\right)\left(\dfrac{x^2+21}{x+3}\right)=12\)
\(a,\dfrac{3\left(2x+1\right)}{4}-5-\dfrac{3x+2}{10}=\dfrac{2\left(3x-1\right)}{5}\)
b,\(\dfrac{x-15}{23}+\dfrac{x-23}{15}-2=0\)
c,\(\dfrac{3\left(2x+1\right)}{4}-\dfrac{5x+3}{6}+\dfrac{x+1}{3}=x+\dfrac{7}{12}\)
Giải các phương trình sau:
Bài 1:
a) 90/x - 36/x-6 = 2
b) 1/x + 1/x+10 = 1/12
c) x+7/x-2 = x-2/x+7
d) 2x+5/x+3 + 3x+2/x = 5
Bài 2:
a) 50/x - 50/2,5x = 2,5
b) 2/3-x - 2/3+x = 1/2
Bài 3:
a) x2/x-1 - x2/x+1 = 2x/x2-1
b) 3x-1/x-1 - 2x+5/x+3 + 4/x2+2x-3 = 1
a)\(\frac{5}{x+7}+\frac{8}{2x+14}=\frac{3}{2}\)
b)\(\frac{x+3}{x-3}-\frac{1}{x}=\frac{3}{x\left(x-3\right)}\)
c)\(\frac{1}{x}+\frac{1}{x+10}=\frac{1}{12}\)
d)\(\frac{90}{x}-\frac{36}{x-36}=2\)
c)\(\frac{x}{x+1}-\frac{2x-3}{1-x}=\frac{3x^2+5}{x^2-1}\)
\(\frac{1}{x}+\frac{1}{x+10}=\frac{1}{12}\)
