Question

Tìm x biết :2x+3/5x+2 = 4x+5/10x+2 vui long giai mot cach cham ai giai nhanh minh ko tick

Answer 1

\(\frac{2x+3}{5x+2}=\frac{4x+5}{10x+2}\)

\(\Leftrightarrow\left(2x+3\right).\left(10x+2\right)=\left(5x+2\right).\left(4x+5\right)\)

\(\Leftrightarrow\left(20x^2+30x\right)+ \left(4x+6\right)=\left(20x^2+8x\right)+\left(25x+10\right)\)

\(\Leftrightarrow20x^2+30x+4x+6=20x^2+8x+25x+10\)

\(\Leftrightarrow30x+4x+6=8x+25x+10\)

\(\Leftrightarrow34x+6=33x+10\)

\(\Leftrightarrow34x-33x=10-6\)

\(\Leftrightarrow x=4\)

Answer 2

thanks bạn nhé