\(\frac{x-18}{x+4}=\frac{x-17}{x+16}\)
\(\Rightarrow\left(x-18\right).\left(x+16\right)=\left(x+4\right).\left(x-17\right)\)
\(x^2+16x-18x-288=x^2-17x+4x-68\)
\(x^2-2x-288=x^2-13x-68\)
\(\Rightarrow x^2-2x-x^2+13x=-68+288\)
\(11x=220\)
x = 220:11
x = 20
x - 18 / x + 4 = x -17 / x + 16
<=> (x-18) . ( x+ 16) = (x+4) . (x-17)
<=> x2 + 16x - 18x -288 = x2 -17x + 4x -68
<=>x2 - 2x -288 = x2 -13x -68
<=> x2 - x2 -2x + 13x = 288 - 68
<=> 11x = 220 => x = 20
vậy x= 20
chúc bạn hok tốt và nhớ ủng hộ mik nha
\(\frac{x-18}{x+4}=\frac{x-17}{x+16}\)
\(\Rightarrow\left(x-18\right).\left(x+16\right)\)
\(\Rightarrow\left(x+4\right).\left(x-17\right)\)
\(\Rightarrow x^2+16x-18x-288\)
\(\Rightarrow x^2-17x+4x-68\)
\(\Rightarrow x^2-2x-288\)
\(\Rightarrow x^2-13x-68\)
\(\Rightarrow x^2-2x-x^2+13x\)
\(\Rightarrow-68+288\)
\(11x=220\)
\(x=220\div11\)
\(x=20\)
Vậy \(x=20\)