B2 : Giải ptr :
a) \(\left(2x+5\right)^2=\left(x+2\right)^2\)
b) \(3-4x.\left(25-2x\right)=8x^2+x-300\)
c) \(\frac{x+5}{x^2-5x}-\frac{x-5}{2x^2+10x}=\frac{x+25}{2x^2-50}\)
a ) \(\frac{x+5}{x^2-5x}\)- \(\frac{x-5}{2x^2+10x}\)= \(\frac{x+25}{2x^2-50}\)
b ) \(\frac{1}{x-1}-\frac{3x^2}{x^3-1}=\frac{2x}{x^2+x+1}\)
c ) \(\frac{7}{8x}+\frac{5-x}{4x^2-8x}-\frac{x-1}{2x\left(x-2\right)}+\frac{1}{8x-16}\)
Giải các phương trình sau:
a) \(\frac{x+5}{x^2-5x}-\frac{x+25}{2x^2-50}=\frac{x-5}{2x^2+10x}\).
b) \(\frac{1}{3-x}-\frac{1}{x+1}=\frac{x}{x-3}-\frac{\left(x-1\right)^2}{x^2-2x-3}\).
c) \(\frac{x+1}{x^2+x+1}-\frac{x-1}{x^2-x+1}=\frac{2\left(x+2\right)^2}{x^6-1}\).
d) \(\frac{x}{x-3}-\frac{x}{x-5}=\frac{x}{x-4}-\frac{x}{x-6}\).
Giải các pt chứa ẩn ở mẫu sau:
a, \(\frac{12}{8+x^3}=1+\frac{1}{x+2}\)
b,\(\frac{x+25}{2x^2-50}-\frac{x+5}{x^2-5x}=\frac{5-x}{2x^2+10x}\)
c,\(\frac{4}{x^2+2x-3}=\frac{2x-5}{x+3}-\frac{2x}{x-1}\)
Giải các phương trình sau :
\(a,6x^2-5x+3=2x-3x\left(3-2x\right)\)
\(b,\frac{2\left(x-4\right)}{4}-\frac{3+2x}{10}=x+\frac{1-x}{5}\)
\(c,\frac{2x}{3}+\frac{3x-5}{4}=\frac{3\left(2x-1\right)}{2}-\frac{7}{6}\)
\(d,\frac{6x+5}{2}-\frac{10x+3}{4}=2x+\frac{2x+1}{2}\)
\(e,\left(x-4\right)\left(x+4\right)-2\left(3x-2\right)=\left(x-4\right)^2\)
Thực hiện phép tính
a) \(\left(\frac{2x+1}{2x-2}+\frac{3}{x^2-1}-\frac{x+3}{2x+2}\right).\frac{4x^2-4}{3}\)
b) \(\left(\frac{5x+2}{x^2-10x}+\frac{5x-2}{x^2+10x}\right).\frac{x^2-100}{x^2+4}\)
c) \(\frac{1}{x-1}-\frac{x^3-x}{x^2+1}.\left(\frac{1}{x^2-2x+1}+\frac{1}{1-x^2}\right)\)
Rút gọn
a) \(\frac{3}{2x+6}-\frac{x-6}{2x^2+6x}\)
b) (\(\frac{2x+1}{2x-1}-\frac{2x-1}{2x+1}\)) / \(\frac{4x}{10x-5}\)
c) \(\frac{x^2 +x}{5x^2-10x+5}\)/ \(\frac{3x+3}{5x-5}\)
Cho biểu thức
A=\(\frac{x^2+2x}{2x+10}\)+\(\frac{x-5}{x}\)-\(\frac{50-5x}{2x\left(x+5\right)}\)
a) Tìm điệu kiện xác định
b) Rút gọn A
c) Tìm x để A=1
Rút gọn phân thức :
a) \(P=\left(\frac{1}{x-1}-\frac{x}{1-x^3}.\frac{x^2+x+1}{x+1}\right):\frac{2x+1}{x^2+2x+1}\)
b) \(Q=\frac{x^2+2x}{2x+10}+\frac{x-5}{x}+\frac{50-5x}{2x\left(x+5\right)}\)
P/s : Típ nè :v
Giải các phương trình sau :
á) \(\frac{x+5}{x^2-5x}-\frac{x-5}{2x^2+10x}=\frac{x+25}{2x^2-50}\)
b) \(\frac{1}{x-1}-\frac{3x^2}{x^3-1}=\frac{2x}{x^2+x+1}\)