Question

Qual o valor de x, na equação x+10= 8x/x-2 (x diferente de 2)

Answer 1

$x+10= \frac{8x}{x-2} \\ \\ (x+10)(x-2)=8x \\ x^{2} -2x+10x-20=8x \\ x^{2} +8x-8x=20 \\ \\ x^{2} =20 \\ x=\pm \sqrt{20} \\ x=\pm \sqrt{2^2.5} \\ \\ x=\pm2 \sqrt{5} \\ \\ S=\{-2 \sqrt{5} ,+2 \sqrt{5} \}$