a) 90/x - 36/x-6 = 2.
ĐKXĐ: x≠0, x≠6.
<=> 90(x-6)-36x-2x(x-6)=0
<=> 90x-540-36x-2x2+12x=0
<=> -2x2+66x-540=0
<=> \(\left[{}\begin{matrix}x=18\left(tm\right)\\x=15\left(tm\right)\end{matrix}\right.\)
b) 1/x+1/x+10=1/12
ĐKXĐ: x≠0
<=> 1/x+1/x+10-1/12=0
<=> 12+12+10.12x-x=0
<=> 12+12+120x-x=0
<=> 119x+24=0
<=> 119x=-24
<=> x= -24/119(tm)
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
giải phương trình sau
a) 90/x-36/x-6=2
b)x=3/x-3-1/x=3/x(x-3)
c)3/x+2-2/x-2+8/x^2-4=0
d)5/x+7+8/2x+14=3/2
Giải các phương trình sau: a. 2x-5/x+5=3
b. (x^2+2x)-(3x+6)/x-3=0
c. x/2(x-3)+x/2x+2=2x/(x+1)(x-3)
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)\(\frac{x}{x+1}-\frac{2x-3}{1-x}=\frac{3x^2+5}{x^2-1}\)
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
Giải các phương trình:
a) \(\dfrac{1}{x-2}\) + 3 = \(\dfrac{3-x}{x-2}\)
b) \(\dfrac{8-x}{x-7}\) - 8 = \(\dfrac{1}{x-7}\)
c) \(\dfrac{1}{x-1}\) + \(\dfrac{2x}{x^2+x+1}\) = \(\dfrac{3x^2}{x^3-1}\)
d) \(\dfrac{y+5}{y^2-5y}\) - \(\dfrac{y-5}{2y^2+10y}\) = \(\dfrac{y+25}{2y^2-50}\)
Giải các phương trình sau :
a) \(\dfrac{2x+1}{x-1}=\dfrac{5\left(x-1\right)}{x+1}\)
b) \(\dfrac{x-3}{x-2}+\dfrac{x-2}{x-4}=-1\)
c) \(\dfrac{1}{x-1}+\dfrac{2x^2-5}{x^3-1}=\dfrac{4}{x^2+x+1}\)
d) \(\dfrac{13}{\left(x-3\right)\left(2x+7\right)}+\dfrac{1}{2x+7}=\dfrac{6}{x^2-9}\)
Giải phương trình:
a) \(\dfrac{2x-5}{x+5}\) = 4
b) \(\dfrac{x^2-4}{x}\) = \(\dfrac{2x+3}{2}\)
c) \(\dfrac{2x+3}{2x-1}\) = \(\dfrac{x-3}{x+5}\)
d) \(\dfrac{3x-2}{x+7}\) = \(\dfrac{6x+1}{2x-3}\)
