\(\Leftrightarrow\left(9x-18\right)^2=\left(7x+1\right)^2\)
\(\Leftrightarrow\left(9x-18-7x-1\right)\left(9x-18+7x+1\right)=0\)
\(\Leftrightarrow\left(2x-19\right)\left(16x-17\right)=0\)
hay \(x\in\left\{\dfrac{19}{2};\dfrac{17}{16}\right\}\)
1) giải phương trình :
a) \(\left(2+3\right)\left(\dfrac{3x+8}{2-7x}+1\right)=\left(x-5\right)\left(\dfrac{3x+8}{2-7x}+1\right)\)
b) \(\dfrac{7x+10}{x+1}\left(x^2-x-2\right)-\dfrac{7x+10}{x+1}\left(2x^2-3x-5\right)=0\)
c) \(\dfrac{2x+5}{x+3}+1=\dfrac{4}{x^2+2x-3}-\dfrac{3x-1}{1-x}\)
d) \(\dfrac{13}{2x^2+x-21}+\dfrac{1}{2x+7}+\dfrac{6}{9-x^2}=0\)
i) \(\dfrac{x-49}{50}+\dfrac{x-50}{49}=\dfrac{49}{x-50}+\dfrac{50}{x-49}\)
k) \(\dfrac{1+\dfrac{x}{x+3}}{1-\dfrac{x}{x+3}}=3\)
Hàng dzề, hàng dzề!!! Mại dzô, mại dzô các cậu ơi...Nhanh tay lên kẻo cháy hàng, híhí........................
Giải các phương trình sau
6) \(\left(x^2-1\right)^2=4x+1\)
7) \(\left(x^2-9\right)^2=12x+1\)
8) \(\left(x^2+12x+35\right)\left(x^2-4x+3\right)=297\)
9) \(\left(8x+5\right)^2\left(4x+3\right)\left(2x+1\right)=9\)
10) \(\dfrac{x^2}{3}+\dfrac{48}{x^2}=10\left(\dfrac{x}{3}-\dfrac{4}{x}\right)\)
11) \(\dfrac{x^4+4}{x^2-2}=5x\)
12) \(x^4+9=5x\left(x^2-3\right)\)
13) \(\dfrac{2x}{2x^2-5x+3}+\dfrac{13x}{2x^2+x+3}=6\)
14) \(x^2+\dfrac{x^2}{x^2+2x+1}=3\)
15) \(\dfrac{x-49}{50}+\dfrac{x-50}{49}=\dfrac{49}{x-50}+\dfrac{50}{x-49}\)
1) giải pt :
a) \(\dfrac{x-5}{100}+\dfrac{x-4}{101}+\dfrac{x-3}{102}=\dfrac{x-100}{5}+\dfrac{x-101}{4}+\dfrac{x-102}{3}\)
b) \(\dfrac{29-x}{21}+\dfrac{27-x}{23}+\dfrac{25-x}{25}+\dfrac{23-x}{27}+\dfrac{21-x}{29}=-5\)
2) giải pt :
a) \(\left(5x+1\right)^2=\left(3x-2\right)^2\)
b) \(\left(x+2\right)^3=\left(2x+1\right)^3\)
c) \(\left(x+3\right)^4+\left(x+5\right)^4=2\)
d) \(x^4-3x^3+4x^2-3x+1=0\)
a) \(x-\dfrac{\dfrac{x}{2}-\dfrac{3+x}{4}}{2}=\dfrac{2x-\dfrac{10-7x}{3}}{3}-\left(x-1\right)\)
b) \(x^2-6x-2+\dfrac{14}{x^2-6x+7}=0\)
c) \(\dfrac{8x^2}{3\left(1-4x^2\right)}=\dfrac{2x}{6x-3}-\dfrac{1+8x}{4+8x}\)
d) \(\dfrac{13}{\left(2x+7\right)\left(x-3\right)}+\dfrac{1}{\left(2x+7\right)}=\dfrac{6}{x^2-9}\)
e) \(\left(1-\dfrac{2x-1}{x+1}\right)^3+6\left(1-\dfrac{2x-1}{x+1}\right)^2=\dfrac{12\left(2x-1\right)}{x+1}-20\)
Giải phương trình:
a) \(\dfrac{x+4}{5}\) - x + 4 = \(\dfrac{x}{3}\) - \(\dfrac{x-2}{2}\)
b) \(\dfrac{4-5x}{6}\) = \(\dfrac{2\left(-x+1\right)}{2}\)
c) \(\dfrac{-\left(x-3\right)}{2}\) - 2 = \(\dfrac{5\left(x+2\right)}{4}\)
d) \(\dfrac{7-3x}{2}\) - \(\dfrac{5+x}{5}\) = 1
giải pt
\(\left(\dfrac{x-1}{99}+x-99\right)+\left(\dfrac{x-3}{97}+\dfrac{x-7}{93}\right)+\left(\dfrac{x-5}{95}+\dfrac{x-95}{5}\right)=6\)
Giải phương trình:
\(\left(\dfrac{7x-x^2}{x+1}\right)\left(\dfrac{7+x^2}{x+1}\right)=10\)
1. \(\dfrac{5\left(x-1\right)+2}{6}-\dfrac{7x-1}{4}=\dfrac{2\left(2x+1\right)}{7}-5\)
2. \(x-\dfrac{3\left(x+30\right)}{15}-24\dfrac{1}{2}=\dfrac{7x}{10}-\dfrac{2\left(10x+2\right)}{5}\)
3. \(14\dfrac{1}{2}-\dfrac{2\left(x+3\right)}{5}=\dfrac{3x}{2}-\dfrac{2\left(x-7\right)}{3}\)
4. \(\dfrac{x+1}{3}+\dfrac{3\left(2x+1\right)}{4}=\dfrac{2x+3\left(x+1\right)}{6}+\dfrac{7+12x}{12}\)
5. \(\dfrac{3\left(2x-1\right)}{4}-\dfrac{3x+1}{10}+1=\dfrac{2\left(3x+2\right)}{5}\)
6. \(x-\dfrac{3}{17}\left(2x-1\right)=\dfrac{7}{34}\left(1-2x\right)+\dfrac{10x-3}{2}\)
7. \(\dfrac{3\left(x-3\right)}{4}+\dfrac{4x-10,5}{10}=\dfrac{3\left(x+1\right)}{5}+6\)
8. \(\dfrac{2\left(3x+1\right)+1}{4}-5=\dfrac{2\left(3x-1\right)}{5}-\dfrac{3x+2}{10}\)
Giải phương trình sau:
\(\left(\dfrac{x+3}{x-2}\right)^2+6\left(\dfrac{x-3}{x+2}\right)^2=\dfrac{7\left(x^2-9\right)}{x^2-4}\)
