a ) \(\frac{2x+3}{5x+2}=\frac{4x+5}{10x+2}\)
\(\Leftrightarrow\left(2x+3\right).\left(10x+2\right)=\left(5x+2\right).\left(4x+5\right)\)
\(\Leftrightarrow20x^2+4x+30x+6=20x^2+25x+8x+10\)
\(\Leftrightarrow4x+30x-25x-8x=10-6\)
\(\Leftrightarrow1x=4\)
\(\Leftrightarrow x=4:1\)
\(\Leftrightarrow x=4\)
b ) \(\frac{3x-1}{40-5x}=\frac{25-3x}{5x-34}\)
\(\Leftrightarrow\left(3x-1\right).\left(5x-34\right)=\left(40-5x\right).\left(25-3x\right)\)
\(\Leftrightarrow15x^2-102x-5x+34=1000-120x-125x+15x^2\)
\(\Leftrightarrow-102x-5x+120x+125x=1000-34\)
\(\Leftrightarrow138x=966\)
\(\Leftrightarrow x=966:138\)
\(\Leftrightarrow x=7\)
a. \(\left(2x+3\right)\left(10x+2\right)=\left(5x+2\right)\left(4x+5\right)\)
\(20x^2+34x+5=20x^2+33x+10\)
rút gọn \(x=5\)
mình gửi câu a tí nữa mình gửi câu b
b. \(\left(3x-1\right)\left(5x-34\right)=\left(40-5x\right)\left(25-3x\right)\)
\(15x^2-102x-5x+34=1000-120x-125x+15x^2\)
\(1000-138x=34\)
\(1000-34=138x\)
\(138x=966\)
\(x=7\)
a,Đk: \(x\ne-\frac{2}{5};-\frac{1}{5}\)
\(\frac{2x+3}{5x+2}=\frac{4x+5}{10x+2}\Leftrightarrow\frac{\left(2x+3\right)\left(10x+2\right)}{\left(5x+2\right)\left(10x+2\right)}=\frac{\left(4x+5\right)\left(5x+2\right)}{\left(5x+2\right)\left(10x+2\right)}\)
\(\Leftrightarrow20x^2+4x+30x+6=20x^2+8x+25x+10\Leftrightarrow x=4\)
b, ĐK: \(x\ne8;\frac{34}{5}\)
\(\frac{3x-1}{40-5x}=\frac{25-3x}{5x-24}\Leftrightarrow\frac{\left(3x-1\right)\left(5x-24\right)}{\left(40-5x\right)\left(5x-24\right)}=\frac{\left(25-3x\right)\left(40-5x\right)}{\left(5x-24\right)\left(40-5x\right)}\)
\(\Leftrightarrow15x^2-72x-5x+24=1000-125x-120x+15x^2\)
\(\Leftrightarrow168x=976\Leftrightarrow x=\frac{122}{21}\)
