\(\Leftrightarrow12+3x-4x-x^2+x^2-4x+4=30-5x\)
=>-5x+16=30-5x
=>16=30(loại)
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giải phương trình
a.\(\left(2x-3\right)^2=\left(2x-3\right)\left(x+1\right)\)
b.\(x\left(2x-9\right)=3x\left(x-5\right)\)
c.\(3x-15=2x\left(x-5\right)\)
d.\(\dfrac{5-x}{2}=\dfrac{3x-4}{6}\)
e.\(\dfrac{3x+2}{2}-\dfrac{3x+1}{6}=2x+\dfrac{5}{3}\)
Làm tính nhanh (làm kĩ giúp ạ)
\(\dfrac{1}{x\left(x+1\right)}+\dfrac{1}{\left(x+1\right)\left(x+2\right)}+\dfrac{1}{\left(x+2\right)\left(x+3\right)}+\dfrac{1}{\left(x+3\right)\left(x+4\right)}+\dfrac{1}{\left(x+4\right)\left(x+5\right)}+\dfrac{1}{\left(x+5\right)\left(x+6\right)}\)
Tính
a)left(dfrac{left(x-1right)^2}{left(3x+x-1right)^2}-dfrac{1-2x^2+4x}{x^3-1}+dfrac{1}{x-1}right):dfrac{x^2+x}{x^2+1}
b)left(dfrac{3left(x+2right)}{2left(x^3+x^2+x+1right)}+dfrac{2x^2-x+10}{2left(x^3+x^2+x+1right)}right):left(dfrac{5}{x^2+1}+dfrac{3}{2left(x+1right)}-dfrac{3}{2left(x-1right)}right).dfrac{2}{x-1}
c)left(dfrac{x^2}{x^2-5x+6}+dfrac{x^2}{x^2-3x+2}right):dfrac{left(x-1right)left(x-3right)}{x^4+x^2+1}
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Tính
a)\(\left(\dfrac{\left(x-1\right)^2}{\left(3x+x-1\right)^2}-\dfrac{1-2x^2+4x}{x^3-1}+\dfrac{1}{x-1}\right):\dfrac{x^2+x}{x^2+1}\)
b)\(\left(\dfrac{3\left(x+2\right)}{2\left(x^3+x^2+x+1\right)}+\dfrac{2x^2-x+10}{2\left(x^3+x^2+x+1\right)}\right):\left(\dfrac{5}{x^2+1}+\dfrac{3}{2\left(x+1\right)}-\dfrac{3}{2\left(x-1\right)}\right).\dfrac{2}{x-1}\)
c)\(\left(\dfrac{x^2}{x^2-5x+6}+\dfrac{x^2}{x^2-3x+2}\right):\dfrac{\left(x-1\right)\left(x-3\right)}{x^4+x^2+1}\)
Tìm đa thức A thỏa mãn điều kiện sau :
\(\dfrac{A\left(x-5\right)}{x^2-4x-5}=\dfrac{3x^2+9x}{x^2+4x+3}\)
\(\dfrac{x^2+x-6}{A\left(x-3\right)}=\dfrac{\left(5x-1\right)\left(x-2\right)}{5x^3-x^2+15x-3}\)
\(\dfrac{x^2-25}{2x^2+7x-15}=\dfrac{\left(x-5\right)A}{2x^2+x-6}\)
thực hiện phép tính
a) \(\left(3-2x\right).\left(x+1\right)+x.\left(2x-1\right)\)
b) \(\frac{x^2+9}{x^2+3x}+\frac{6}{x+3}\)
c) \(\frac{2+x}{2-x}+\frac{4x^2}{4-x^2}+\frac{x-2}{2+x}\)
d) \(\left(x^3+4x^2+6x+4\right):\left(x+2\right)\)
thực hiện phép tính: \(\dfrac{4\left(x+3\right)^2}{\left(3x+5\right)^2-4x^2}-\dfrac{x^2-25}{9x^2-\left(2x+5\right)^2}-\dfrac{\left(3x-3\right)^2-x^2}{\left(4x+15\right)^2-x^2}\)
Giải các phương trình sau :
1.dfrac{14}{3x-12}-dfrac{2+x}{x-4}dfrac{3}{8-2x}-dfrac{5}{6}
2.dfrac{12}{1-9x^2}dfrac{1-3x}{1+3x}-dfrac{1+3x}{1-3x}
3.dfrac{x+5}{x^2-5x}-dfrac{x+25}{2x^2-50}dfrac{x-5}{2x^2+10x}
4.dfrac{6x_{ }+1}{x^2-7x+10}+dfrac{5}{x-2}dfrac{3}{x-5}
5.dfrac{2}{x^2-4}-dfrac{x-1}{xleft(x-2right)}+dfrac{x-4}{xleft(x+2right)}0
6.dfrac{2}{x+2}-dfrac{2x^2+16}{x^3+8}dfrac{5}{x^2-2x+4}
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Giải các phương trình sau :
1.\(\dfrac{14}{3x-12}-\dfrac{2+x}{x-4}=\dfrac{3}{8-2x}-\dfrac{5}{6}\)
2.\(\dfrac{12}{1-9x^2}=\dfrac{1-3x}{1+3x}-\dfrac{1+3x}{1-3x}\)
3.\(\dfrac{x+5}{x^2-5x}-\dfrac{x+25}{2x^2-50}=\dfrac{x-5}{2x^2+10x}\)
4.\(\dfrac{6x_{ }+1}{x^2-7x+10}+\dfrac{5}{x-2}=\dfrac{3}{x-5}\)
5.\(\dfrac{2}{x^2-4}-\dfrac{x-1}{x\left(x-2\right)}+\dfrac{x-4}{x\left(x+2\right)}=0\)
6.\(\dfrac{2}{x+2}-\dfrac{2x^2+16}{x^3+8}=\dfrac{5}{x^2-2x+4}\)
thực hiện phép tính
a) (x3+8y3):(2y+x) b.frac{a-1}{2left(a-4right)}+frac{a}{a-4} c. (x3+3x2y+3xy2+y3):(2x+2y)
d. (x-5)2+(7-x)(x+2) e.frac{3x}{x-2}-frac{2x+1}{2-x} f. left(frac{x+2}{x+1}-frac{2x}{x-1}right)cdotfrac{3x+3}{x}+frac{4x^2+x+7}{x^2-x}
g.left(frac{1}{x+1}-frac{3}{x^{3^{ }}+1}+frac{3}{x^2-x+1}right)cdotleft(frac{3x^2-3x+3}{left(x+1right)left(x+2right)}right) h.frac{1}{3x-2}-frac{1}{3x+2}-frac{3x+6}{4-9x^2}
Nguyễn Nam giúp giùm
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thực hiện phép tính
a) (x3+8y3):(2y+x) b.\(\frac{a-1}{2\left(a-4\right)}+\frac{a}{a-4}\) c. (x3+3x2y+3xy2+y3):(2x+2y)
d. (x-5)2+(7-x)(x+2) e.\(\frac{3x}{x-2}-\frac{2x+1}{2-x}\) f. \(\left(\frac{x+2}{x+1}-\frac{2x}{x-1}\right)\cdot\frac{3x+3}{x}+\frac{4x^2+x+7}{x^2-x}\)
g.\(\left(\frac{1}{x+1}-\frac{3}{x^{3^{ }}+1}+\frac{3}{x^2-x+1}\right)\cdot\left(\frac{3x^2-3x+3}{\left(x+1\right)\left(x+2\right)}\right)\) h.\(\frac{1}{3x-2}-\frac{1}{3x+2}-\frac{3x+6}{4-9x^2}\)
Nguyễn Nam giúp giùm
\(a,\frac{x-3}{2}+\frac{4x+1}{3}=\frac{2x-7}{6}\)
\(b,\frac{x-4}{5}+\frac{3x-2}{10}-x=\frac{2x-5}{3}-\frac{7x+5}{6}\)
\(c,\frac{2\left(x-3\right)}{4}+\frac{x-5}{3}=\frac{13x+4}{12}\)