\(\dfrac{4x+5}{14x}+\dfrac{3x-5}{14x}=\dfrac{4x+5+3x-5}{14x}=\dfrac{7x}{14x}=\dfrac{1}{2}\\ \Rightarrow B\)
\(\dfrac{4x+5}{14x}+\dfrac{3x-5}{14x}=\dfrac{4x+5+3x-5}{14x}=\dfrac{7x}{14x}=\dfrac{1}{2}\\ \Rightarrow B\)
Giải các phương trình sau:
\(h.\dfrac{3\left(2x-1\right)}{4}-\dfrac{3x+1}{10}+1=\dfrac{2\left(3x+2\right)}{5}\)
\(i.\dfrac{\left(2x+1\right)^2}{5}-\dfrac{\left(x-1\right)^2}{3}=\dfrac{7x^2-14x-5}{15}\)
\(k.x+\dfrac{2x+\dfrac{x-1}{5}}{3}=1-\dfrac{3x-\dfrac{1-2x}{3}}{5}\)
Giải phương trình sau:
\(\dfrac{\left(2x+1\right)^2}{5}-\dfrac{\left(x-1\right)^2}{3}=\dfrac{7x^2-14x-5}{15}\)
1).(4-3x)(10-5x)=0 2).(7-2x)(4+8x)=0 3).(9-7x)(11-3x)=0
4).(7-14x)(x-2)=0 5).(\(\dfrac{7}{8}\)-2x)(3x+\(\dfrac{1}{3}\))=0 6).3x-2x\(^2\)
7).5x+10x\(^2\)
Bài 1: rút gọn
\(\dfrac{7x^{2^{ }}-14x+7}{3x^2-3x}\)
Tính
\(\dfrac{7x+2}{3xy^2}\times\dfrac{14x+4}{x^2y}\)
Qui đồng mẫu thức các phân thức:
\(a,\dfrac{1}{6x^2y^3};\dfrac{-5}{21xy^2};\dfrac{3}{14x^4y}\)
\(b,\dfrac{2}{x^3-y^3};\dfrac{2x+1}{x^2-y^2}\)
Thực hiện phép tính sau:
a) \(2x\left(1+\dfrac{1}{2}x^2-\dfrac{5}{2}x^3\right)\)
b) \(\dfrac{4x}{2x-1}-\dfrac{7x+3}{4x^2-1}\)
thực hiện phép tính
\(\dfrac{1}{3x-2}-\dfrac{1}{3x+2}-\dfrac{3x-6}{9x^2-4}\)
\(\dfrac{x+25}{2x^2-50}-\dfrac{x+5}{x^2-5x}-\dfrac{5-x}{2x^2+10x}\)
\(\dfrac{1-2x}{2x}-\dfrac{4x}{2x-1}-\dfrac{3}{2x-4x^2}\)
Giải phương trình sau :
a,\(\dfrac{7-3x}{12}+\dfrac{5x+2}{7}=x+13\)
b,\(\dfrac{3\left(x+3\right)}{4}-\dfrac{1}{2}=\dfrac{5x+9}{7}-\dfrac{7x-9}{4}\)
c,\(\dfrac{2x+1}{3}-\dfrac{5x+2}{7}=x+3\)
d,\(\dfrac{2x-3}{3}-\dfrac{2x+3}{7}=\dfrac{4x+3}{5}-17\)