Bạn ghi lại đề đi bạn. Khó hiểu quá!
Bạn ghi lại đề đi bạn. Khó hiểu quá!
cho biểu thức : \(\dfrac{8}{x^2+4x}+\dfrac{5}{x+4}-\dfrac{2}{x}\) với x≠0 , x≠ - 4
a ) rút gọn P
b ) Tính giá trị của P tại x = 1/2
mn giúp mình với ạ
Cho biểu thức P= \(\dfrac{1}{x^2-x}+\dfrac{1}{x^2-3x+2}+\dfrac{1}{x^2-5x+6}+\dfrac{1}{x^2-7x+12}+\dfrac{1}{x^2-9x+20}\)
a) tìm điều kiện của x để biểu thức P có giá trị
b) rút gọn biểu thúc P
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) \(\dfrac{13}{\left(x-3\right)\left(2x+7\right)}+\dfrac{1}{2x+7}=\dfrac{6}{x^2-9}\)
a. \(\dfrac{x+3}{x-3}-\dfrac{x-3}{x+3}=\dfrac{9}{x^2-9}\)
b. \(\dfrac{x+2}{4}-x+3=\dfrac{1-x}{8}\)
c. / 2x + 3 / = x + 2
d. \(\dfrac{2x-1}{3}-x-1=\dfrac{x+2}{4}\)
e.\(\dfrac{x-4}{x-1}+\dfrac{x+4}{x+1}=2\)
f. \(\dfrac{3x}{x-2}+\dfrac{3x}{\left(x-2\right)\left(x-5\right)}=\dfrac{x}{x-5}\)
Giải các pt sau:
a)\(x^2+\dfrac{4x^2}{\left(x+2\right)^2}=12\)
b) \(\dfrac{x^2}{3}+\dfrac{48}{x^2}=5\left(\dfrac{x}{3}+\dfrac{4}{x}\right)\)
c) \(\left(\dfrac{x}{x-1}\right)^2+\left(\dfrac{x}{x+1}\right)^2=\dfrac{10}{9}\)
d) \(\left(\dfrac{x-1}{x}\right)^2+\left(\dfrac{x-1}{x-2}\right)^2=\dfrac{40}{9}\)
e) \(x^2+\left(\dfrac{x}{x-1}\right)^2=8\)
g) \(x^3+\dfrac{1}{x^3}=6\left(x+\dfrac{1}{x}\right)\)
f) \(\left(x^2+\dfrac{1}{x^2}\right)+5\left(x+\dfrac{1}{x}\right)-12=0\)
Giải phương trình sau:
a. \(\dfrac{6x+1}{x^2-7x+10}+\dfrac{5}{x-2}=\dfrac{3}{x-5}\)
b. \(\dfrac{2}{x^2-4}-\dfrac{x-1}{x\left(x-2\right)}+\dfrac{x-4}{x\left(x+2\right)}=0\)
c. \(\dfrac{1}{3-x}-\dfrac{1}{x+1}=\dfrac{x}{x-3}-\dfrac{\left(x-1\right)^2}{x^2-2x-3}\)
d. \(\dfrac{1}{x-2}-\dfrac{6}{x+3}=\dfrac{5}{6-x^2-x}\)
e. \(\dfrac{2}{x+2}-\dfrac{2x^2+16}{x^3+8}=\dfrac{5}{x^2-2x-3}\)
f. \(\dfrac{x+1}{x^2+x+1}-\dfrac{x-1}{x^2-x+1}=\dfrac{2\left(x+2\right)^2}{x^6-1}\)
m.n jup vs mai kt r
Giải các phương trình sau :
a) \(\dfrac{1-6x}{x-2}+\dfrac{9x+4}{x+2}=\dfrac{x\left(3x-2+1\right)}{x^2-4}\)
b) \(1+\dfrac{x}{3-x}=\dfrac{5x}{\left(x+2\right)\left(3-x\right)}+\dfrac{2}{x+2}\)
c) \(\dfrac{2}{x-1}+\dfrac{2x+3}{x^2+x+1}=\dfrac{\left(2x-1\right)\left(2x+1\right)}{x^3-1}\)
d) \(\dfrac{x^3-\left(x-1\right)^3}{\left(4x+3\right)\left(x-5\right)}=\dfrac{7x-1}{4x+3}-\dfrac{x}{x-5}\)
Giúp Mk mí bài nha...........Mơn nhìu
GIẢI CÁC PHƯƠNG TRÌNH
1/ \(\dfrac{x+2}{x+1}\) + \(\dfrac{3}{x-2}\) = \(\dfrac{3}{x^2-x-2}\) +1
2/\(\dfrac{x+6}{x-5}\) + \(\dfrac{x-5}{x+6}\) = \(\dfrac{2x^2+23x+61}{x^2+x-30}\)
3/ \(\dfrac{6}{x-5}\) + \(\dfrac{x+2}{x-8}=\dfrac{18}{\left(x-5\right)\left(8-x\right)}-1\)
4/ \(\dfrac{x-4}{x-1}+\dfrac{x+4}{x+1}=2\)
5/\(\dfrac{3}{x+1}-\dfrac{1}{x-2}=\dfrac{9}{\left(x+1\right)\left(2-x\right)}\)
6/ \(\dfrac{x^2-x}{x+3}-\dfrac{x^2}{x-3}=\dfrac{7x^2-3x}{9-x^2}\)
7/\(\dfrac{x+1}{x^2+x+1}-\dfrac{x-1}{x^2-x+1}=\dfrac{3}{x\left(x^4+x^2+1\right)}\)
8/ \(\dfrac{x+2}{x^2+2x+4}-\dfrac{x-2}{x^2-2x+4}=\dfrac{6}{x\left(x^4+4x^2+16\right)}\)
9/ \(\dfrac{1+a}{1-x}=1-a\) (a là hằng số)
10/ \(\dfrac{x}{2a+x}+\dfrac{2a+x}{2a-x}=\dfrac{8a^2}{x^2-4a^2}\) (a là hằng số)
11/ \(\dfrac{2a-3b}{x-2a}+\dfrac{3b-2a}{x-3b}=0\) (a là hằng số)
Giải các phương trình :
a) \(\dfrac{1}{x-1}-\dfrac{3x^2}{x^3-1}=\dfrac{2x}{x^2+x+1}\)
b) \(\dfrac{3}{\left(x-1\right)\left(x-2\right)}+\dfrac{2}{\left(x-3\right)\left(x-1\right)}=\dfrac{1}{\left(x-2\right)\left(x-3\right)}\)
c) \(1+\dfrac{1}{x+2}=\dfrac{12}{8+x^3}\)
d) \(\dfrac{13}{\left(x-3\right)\left(2x+7\right)}+\dfrac{1}{2x+7}=\dfrac{6}{\left(x-3\right)\left(x+3\right)}\)