\(7x-\dfrac{1}{6}+2x=16-\dfrac{x}{5}\)
\(\dfrac{7x}{1}-\dfrac{1}{6}+\dfrac{2x}{1}=\dfrac{16}{1}-\dfrac{x}{5}\)
\(\dfrac{7x.30}{30}-\dfrac{1.5}{6.5}+\dfrac{2x.30}{1.30}=\dfrac{16.30}{1.30}-\dfrac{x.6}{5.6}\)
\(\dfrac{210x}{30}-\dfrac{5}{30}+\dfrac{60x}{30}=\dfrac{480}{30}-\dfrac{6x}{30}\)
khử mẫu
210x-5+60x=480-6x
=>210x-5+60x-480+6x=0
=>276x-485=0
=>x=485:276
=>x=485/276
1) \(\dfrac{7x-3}{x-1}\) = \(\dfrac{2}{3}\)
2) \(\dfrac{2\left(3-7x\right)}{1+x}\) = \(\dfrac{1}{2}\)
3) \(\dfrac{x^{2^{ }}-6}{x}\) = x + \(\dfrac{3}{2}\)
4) \(\dfrac{5}{3x+2}\) = 2x - 1
5) \(\dfrac{\left(x^2+2x\right)-\left(3x+6\right)}{x-3}\) = 0
6) \(\dfrac{1}{x-2}\) + 3 = \(\dfrac{3-x}{x-2}\)
5.c) \(\dfrac{x+1}{x^2+x+1}-\dfrac{x-1}{x^2-x-1}=\dfrac{3}{x\left(x^4+x^2+1\right)}\)
6.b) \(\dfrac{4}{2x^3+3x^2-8x-12}-\dfrac{1}{x^2-4}-\dfrac{4}{2x^2+7x+6}+\dfrac{1}{2x+3}=0\)
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 phương trình chứa ẩn ở mẫu:
1) x+6/x-5 + x-5/x+6 = 2x^2+23x+61/x^2+x-30
2) 6/x-5 + x+2/x-8 = 18/(x-5)(8-x) - 1
3) x^2-x/x+3 - x^2/x-3 = 7x^2 - 3x/9-x^2
Giái phương trình :
a,\(\frac{6x+1}{x^2-7x+10}+\frac{5}{x-2}=\frac{3}{x-5}\)
b,\(\frac{2}{x^2-4}-\frac{x-1}{x\left(x-2\right)}+\frac{x-4}{x\left(x+2\right)}=0\)
c,\(\frac{1}{3-x}-\frac{1}{x+1}=\frac{x}{x-3}-\frac{\left(x-1\right)^2}{x^2-2x-3}\)
d,\(\frac{2}{x+2}-\frac{2x^2+16}{x^3+8}=\frac{5}{x^2-2x+4}\)
Giải phương trình:
a) \(\dfrac{5}{x^2+x-6}\) - \(\dfrac{2}{x^2+4x+3}\) = \(\dfrac{-3}{2x-1}\)
b) \(\dfrac{4x^2+16}{x^2+6}\) = \(\dfrac{3}{x^2+1}\) + \(\dfrac{5}{x^2+3}\)+ \(\dfrac{7}{x^2+5}\)
\(1.\frac{1}{x^2-2x+2}+\frac{2}{x^2-2x+3}=\frac{6}{x^2-2x+4}
\)
2.\(\frac{2x^4}{\left(x+1\right)^2}-\frac{5x^2}{x+1}+2=0\)
3.\(\left(x+\frac{1}{x}\right)^2-6\left(x+\frac{1}{x}\right)+8=0\)
4.\(\left(x^2+\frac{1}{x^2}\right)-4\left(x+\frac{1}{x}\right)+6=0\)
5.\(\frac{2x}{3x^2-x+2}-\frac{7x}{3x^2+5x+2}=1\)
Bài 1: Các đẳng thức sau luôn dương
a) x2 + z2 + 2x +12z + 38 > 0
b) x2 + y2 + 4x + 14y +16 > 0
Bài 2: Giải phương trình sau
a) \(\frac{4}{x+5}\) = \(\frac{x-3}{3}\)
b) \(\frac{x-6}{3}+\frac{1}{2}=\frac{7x}{2}\)
c) \(\frac{x}{3}+\frac{1}{2}-\frac{2+x}{4}+\frac{1}{5}=6\)
( mink đag cần gấp)
