Bài 5: Phương trình chứa ẩn ở mẫu
Các câu hỏi tương tự
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
Adfrac{X-1}{X+3}+dfrac{2}{X-3}+dfrac{^{X^2}}{9-X^2}nhândfrac{-2}{2x+1} a rút gọn biểu thức b tính giá trị A biết left|x-2right|0
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A=\(\dfrac{X-1}{X+3}+\dfrac{2}{X-3}+\dfrac{^{X^2}}{9-X^2}nhân\dfrac{-2}{2x+1}\) a rút gọn biểu thức b tính giá trị A biết \(\left|x-2\right|=0\)
Giải pt:
a) \(\dfrac{x+1}{x^2+2x+4}-\dfrac{x-2}{x^2-2x+4}=\dfrac{6}{x(x^4+4x^2+16)}\)
b) \(\dfrac{4x^{2} + 10}{x^{2} + 5} - \dfrac{9}{x^{2} + 4} = \dfrac{8}{x^{2} + 3} + \dfrac{6}{x^{2} + 1}\)
a) dfrac{4x-8}{2x+1}0 b) 2-dfrac{x}{x-2}dfrac{x+1}{x+2} c)dfrac{x+2}{x-3}dfrac{x}{x+1} d) dfrac{3}{x-2}dfrac{1}{x} e) dfrac{x-2}{x}dfrac{x-3}{x+2} f) dfrac{2x}{x+1}-dfrac{1}{x-2}dfrac{2x^2-16}{left(x+1right)left(x-2right)} g) dfrac{3x}{x-1}+dfrac{2}{x+1}dfrac{3x^2}{left(x-1right)left(x+1right)} h) dfrac{1-x}{4}dfrac{2x+1}{5} i)dfrac{2-3x}{3}dfrac{x+4}{4} m) dfrac{4x+3}{5}dfrac{3-4x}{3} n) dfrac{7-3x}{4}-2dfrac{x+5}{3}
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a) \(\dfrac{4x-8}{2x+1}\)=0 b) 2-\(\dfrac{x}{x-2}\)=\(\dfrac{x+1}{x+2}\) c)\(\dfrac{x+2}{x-3}\)=\(\dfrac{x}{x+1}\) d) \(\dfrac{3}{x-2}\)=\(\dfrac{1}{x}\) e) \(\dfrac{x-2}{x}\)=\(\dfrac{x-3}{x+2}\) f) \(\dfrac{2x}{x+1}\)-\(\dfrac{1}{x-2}\)=\(\dfrac{2x^2-16}{\left(x+1\right)\left(x-2\right)}\) g) \(\dfrac{3x}{x-1}+\dfrac{2}{x+1}=\dfrac{3x^2}{\left(x-1\right)\left(x+1\right)}\) h) \(\dfrac{1-x}{4}=\dfrac{2x+1}{5}\) i)\(\dfrac{2-3x}{3}=\dfrac{x+4}{4}\) m) \(\dfrac{4x+3}{5}=\dfrac{3-4x}{3}\) n) \(\dfrac{7-3x}{4}-2=\dfrac{x+5}{3}\)
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-5right)left(8-xright)}-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+1right)left(2-xright)}
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}{xleft(x^4+x^...
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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)
Giúp mk nha
Giải các phương trình
1/ dfrac{1}{x^2+3x+2}+dfrac{1}{x^2+5x+6}+dfrac{1}{x^2+7x+12}dfrac{1}{6}
2/ dfrac{1}{x^2-6x+8}+dfrac{1}{x^2-10x+24}+dfrac{1}{x^2-14x+48}dfrac{1}{9}
3/ dfrac{1}{x^2-3x+3}+dfrac{2}{x^2-3x+4}dfrac{6}{x^2-3x+5}
4/ dfrac{6}{left(x+1right)left(x+2right)}+dfrac{8}{left(x-1right)left(x+4right)}1
5/ 4left(x^3+dfrac{1}{x^3}right)13left(x+dfrac{1}{x}right)
6/ dfrac{4x}{4x^2-8x+7}+dfrac{3x}{4x^2-10x+7}1
7/ dfrac{x^2-3x+5}{x^2-4x+5}-dfrac{x^2-5x+5}{x^2-6x+5}-dfrac{1}{...
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Giúp mk nha
Giải các phương trình
1/ \(\dfrac{1}{x^2+3x+2}+\dfrac{1}{x^2+5x+6}+\dfrac{1}{x^2+7x+12}=\dfrac{1}{6}\)
2/ \(\dfrac{1}{x^2-6x+8}+\dfrac{1}{x^2-10x+24}+\dfrac{1}{x^2-14x+48}=\dfrac{1}{9}\)
3/ \(\dfrac{1}{x^2-3x+3}+\dfrac{2}{x^2-3x+4}=\dfrac{6}{x^2-3x+5}\)
4/ \(\dfrac{6}{\left(x+1\right)\left(x+2\right)}+\dfrac{8}{\left(x-1\right)\left(x+4\right)}=1\)
5/ \(4\left(x^3+\dfrac{1}{x^3}\right)=13\left(x+\dfrac{1}{x}\right)\)
6/ \(\dfrac{4x}{4x^2-8x+7}+\dfrac{3x}{4x^2-10x+7}=1\)
7/ \(\dfrac{x^2-3x+5}{x^2-4x+5}-\dfrac{x^2-5x+5}{x^2-6x+5}=-\dfrac{1}{4}\)
8/ \(x.\dfrac{8-x}{x-1}\left(x-\dfrac{8-x}{x-1}\right)=15\)
Help me... Giup đk chừng nào hay chừng đó ạ.
Bài 1:a, dfrac{x}{x-1}-dfrac{2x}{x^2-1}0
b, dfrac{left(x+2right)^2}{2x-3}-1dfrac{x^2+10}{2x-3}
c,dfrac{x+5}{x-5}-dfrac{x-5}{x+5}dfrac{20}{x^2-25}
d,dfrac{3x+2}{3x-2}-dfrac{6}{2+3x}dfrac{9x^2}{9x^2-4}
e,dfrac{3}{5x-1}+dfrac{2}{3-5x}dfrac{4}{left(1-5xright)left(5x-3right)}
f,dfrac{3}{1-4x}dfrac{2}{4x+1}-dfrac{8+6x}{16x^2-1}
g,dfrac{y-1}{y-2}-dfrac{5}{y+2}dfrac{12}{y^2-4}+1
h,dfrac{x+1}{x-1}-dfrac{x-1}{x+1}dfrac{4}{x^2-1}
i,dfrac{2x-3}{x+2}-dfra...
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Help me... Giup đk chừng nào hay chừng đó ạ.
Bài 1:a, \(\dfrac{x}{x-1}-\dfrac{2x}{x^2-1}=0\)
b, \(\dfrac{\left(x+2\right)^2}{2x-3}-1=\dfrac{x^2+10}{2x-3}\)
c,\(\dfrac{x+5}{x-5}-\dfrac{x-5}{x+5}=\dfrac{20}{x^2-25}\)
d,\(\dfrac{3x+2}{3x-2}-\dfrac{6}{2+3x}=\dfrac{9x^2}{9x^2-4}\)
e,\(\dfrac{3}{5x-1}+\dfrac{2}{3-5x}=\dfrac{4}{\left(1-5x\right)\left(5x-3\right)}\)
f,\(\dfrac{3}{1-4x}=\dfrac{2}{4x+1}-\dfrac{8+6x}{16x^2-1}\)
g,\(\dfrac{y-1}{y-2}-\dfrac{5}{y+2}=\dfrac{12}{y^2-4}+1\)
h,\(\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}=\dfrac{4}{x^2-1}\)
i,\(\dfrac{2x-3}{x+2}-\dfrac{x+2}{x-2}=\dfrac{2}{x^2-4}\)
j,\(\dfrac{x-1}{x^2-4}=\dfrac{3}{2-x}\)
\(a,\dfrac{1}{x^2+3x+2}-\dfrac{3}{x^2-x-2}=\dfrac{-1}{x^2-4}\)
\(b,\dfrac{2x-1}{x^2+4x-5}+\dfrac{x-2}{x^2-10x+9}=\dfrac{3x-12}{x^2-4x-45}\)